{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "73bd968b-d970-4a05-94ef-4e7abf990827",
   "metadata": {},
   "source": [
    "Chapter 11\n",
    "\n",
    "# 一元函数斜率和截距\n",
    "Book_3《数学要素》 | 鸢尾花书：从加减乘除到机器学习 (第二版)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9319df33-7c1b-40aa-a032-b6b1eeb105da",
   "metadata": {},
   "source": [
    "这段代码的目的是可视化四组一元线性函数的不同变化形式，通过绘制函数的图像来展示参数对函数图形的影响。以下是详细的数学描述：\n",
    "\n",
    "### 第一组：$y = w_1 \\cdot x$\n",
    "- 首先定义了权重数组 $w_1 = \\left[\\frac{1}{5}, \\frac{1}{4}, \\frac{1}{3}, \\frac{1}{2}, 1, 2, 3, 4, 5\\right]$ 和自变量 $x$ 的取值范围 $x \\in [-2, 2]$，生成 100 个等间距点。\n",
    "- 对于每个 $w_1$，计算函数值 $y = w_1 \\cdot x$，结果是一组直线，其斜率由 $w_1$ 决定。\n",
    "- 函数的斜率是正数，表明直线从左下向右上倾斜，$w_1$ 的值越大，直线的倾斜程度越陡。\n",
    "- 通过颜色渐变的方式（Jet colormap）对每条直线进行区分，并为每条直线标注其 $w_1$ 值。\n",
    "\n",
    "### 第二组：$y = w_1 \\cdot x$，$w_1$ 为负值\n",
    "- 将第一组中的 $w_1$ 取相反数，得到新的权重数组 $w_1 = \\left[-\\frac{1}{5}, -\\frac{1}{4}, -\\frac{1}{3}, -\\frac{1}{2}, -1, -2, -3, -4, -5\\right]$。\n",
    "- 对每个负权重计算函数值 $y = w_1 \\cdot x$，结果是一组直线，其斜率为负，表明直线从左上向右下倾斜。\n",
    "- 斜率的绝对值越大，直线的倾斜程度越陡。\n",
    "\n",
    "### 第三组：$y = x + b$\n",
    "- 定义偏移量数组 $b = [-3, -2, -1, 0, 1, 2, 3]$，表示直线的截距。\n",
    "- 对于每个 $b$，计算函数值 $y = x + b$，结果是一组平行直线，斜率为 1，截距由 $b$ 决定。\n",
    "- 数学上，这些直线的表达式为：\n",
    "  $$y_i = x + b_i, \\quad b_i \\in [-3, -2, -1, 0, 1, 2, 3]$$\n",
    "- 直线随 $b$ 的增加向上平移。\n",
    "\n",
    "### 第四组：$y = -x + b$\n",
    "- 使用与第三组相同的偏移量数组 $b = [-3, -2, -1, 0, 1, 2, 3]$。\n",
    "- 对于每个 $b$，计算函数值 $y = -x + b$，结果是一组平行直线，斜率为 $-1$，截距由 $b$ 决定。\n",
    "- 数学上，这些直线的表达式为：\n",
    "  $$y_i = -x + b_i, \\quad b_i \\in [-3, -2, -1, 0, 1, 2, 3]$$\n",
    "- 直线随 $b$ 的增加向上平移。\n",
    "\n",
    "### 总结\n",
    "- 第一组和第二组展示了斜率 $w_1$ 的变化如何影响直线的倾斜程度和方向，分别对应正斜率和负斜率的情况。\n",
    "- 第三组和第四组展示了截距 $b$ 的变化如何影响直线的平移，而斜率分别固定为 $1$ 和 $-1$。\n",
    "- 通过绘制这些直线，可以直观理解一元线性函数中斜率和截距的数学意义。"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe2a4749-c6ca-43f3-9349-21ee26aa3bbc",
   "metadata": {},
   "source": [
    "## 导入必要的库"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "9e8f0b8f-25aa-4108-ac0a-ad0ec6cb5f7b",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np  # 导入NumPy库，用于数值计算\n",
    "import matplotlib.pyplot as plt  # 导入Matplotlib库，用于绘图"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aa1be81c-a47e-4dc1-b464-f3beceb7d902",
   "metadata": {},
   "source": [
    "## 定义绘图函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2aba6e55-4f71-47ee-bd7f-f903cbd762ba",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 该函数用于绘制多条曲线\n",
    "def plot_lines(x_array, y_arrays, labels, title, leg = 2):\n",
    "    \"\"\"\n",
    "    绘制多条曲线\n",
    "    参数：\n",
    "        x_array: x轴数据\n",
    "        y_arrays: 多组y轴数据\n",
    "        labels: 每组数据的标签\n",
    "        title: 图形标题\n",
    "    \"\"\"\n",
    "    fig, ax = plt.subplots()  # 创建图形和轴对象\n",
    "    colors = plt.cm.jet(np.linspace(0, 1, len(y_arrays)))  # 生成渐变颜色数组\n",
    "    \n",
    "    # 遍历每组y轴数据并绘制曲线\n",
    "    for i, (y, label) in enumerate(zip(y_arrays, labels)):\n",
    "        ax.plot(x_array, y, label=label, color=colors[i])  # 绘制曲线\n",
    "    \n",
    "    # 设置标题和图例\n",
    "    ax.set_title(title)  # 设置图形标题\n",
    "    ## 设置坐标轴和图形样式\n",
    "    ax.set_xlabel('x')  # 设置x轴标签\n",
    "    ax.set_ylabel('f(x)')  # 设置y轴标签\n",
    "    plt.legend()  # 添加图例\n",
    "    plt.xticks(np.arange(-leg, leg + .5, step=0.5))  # 设置x轴刻度\n",
    "    plt.yticks(np.arange(-leg, leg + .5, step=0.5))  # 设置y轴刻度\n",
    "    plt.axis('scaled')  # 设置坐标比例\n",
    "    ax.set_xlim(-leg, leg)  # 设置x轴范围\n",
    "    ax.set_ylim(-leg, leg)  # 设置y轴范围\n",
    "    \n",
    "    # 隐藏顶部、右侧、底部、左侧边框\n",
    "    ax.spines['top'].set_visible(False)\n",
    "    ax.spines['right'].set_visible(False)\n",
    "    ax.spines['bottom'].set_visible(False)\n",
    "    ax.spines['left'].set_visible(False)\n",
    "    # 添加网格线\n",
    "    ax.grid(linestyle='--', linewidth=0.25, color=[0.5, 0.5, 0.5])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "79bb75a3-faad-4e7d-924a-1999a4f925e0",
   "metadata": {},
   "source": [
    "## 第一组：y = w1 * x，其中w_array = [1/5, 1/4, ..., 5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d5275030-4107-4ead-a3e6-7c4d7e64c275",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1rndUq25Qr3al6a7evh2AHqH2UP2yzP19VHHkH1Dxofv7+SUJdZwOKrDi/uxMl/rWhyrNTkLh7Tgv4VJucNwEcd7MSDVznoIgMHv2bD766CP+9a9/0adPn7DXjB492rMJr8inn37KiBEjMBgMkj9bjXOegSJoNaBW3aBe7UrSLbhcVO/cCUBBMOcpCB7n2TpsVOQfcrDdefa9NQqF0XOapYALvW08Tqv6dmFRkp2EoqPjvJ07cbY54/45qnGeDzzwAKtWreKdd96hU6dO1NTUUFNT47MJ7WOPPcZ///d/e/5///33c+TIEebPn8++ffv405/+xIoVK3jkkUci+mw1Rp4pKSma7gSjVu1K0n3q+++xNTeTajLRfcCAwCcdqYCa4wiGNIRhIyP7gKZDcHK7O2V70bTYBUvEO+o02uYoZrwjQUl2EoxAjjOVVFl0q8Z5Ll++nKamJkpKSigoKPB8vf/++55zqqurOXr0qOf/ffr0Yf369ZSVlTFs2DB++9vf8oc//IFbbrklos/W6XRx+zkShU6n03QnGLVqV5JuMWWbP2wY+tQgs0pbygBwDhmBLiMzsg9IUspWjDrTmUSqa6hixjsSlGQngQjmOEGee7hq5jyl1DWtXLnS71hxcTE7duyI6bODLWvxxul0SjovUYjNI0JtbKxElKbbYDBIfmpV0u8/EpSku2rbNiBEyhY8KVtb0ejItSchZesddXbiZzQraLwjQUl20pFQjhPk0a4a55lM0tPTg74mCAI1NTU0NjYmTpAEXC4XgOJ0hUOJujt37kx+fn7Yp9dQdqJklKQ7bLGQ13ynbvT4yLQnKWXrHXWmUUh6evCuaEpGSXbiTQUVIR0nyKNdc54SMJvNZGYGTg+JjjM3N5eMjAzFpDXEJ61ICqOUgJJ0C4KAxWKhtrYWIOC6YG/EqDmYrSgVpeiWVCzUPt9JWhrN/QZBiL9NP5KQsu0YdYJyxjtSlKjb7TjfCuk4IfQ9PFo05ymBrKysgMedTqfHcQZb+pIsROej9An+jihNt8lkAtxLnHJzc0PqCmYnSkcpuiUVC7XPdzJsJFk5uZF9QBJSth2jTlDOeEeK0nRLdZwgj3bVFAwlk5aWloDHxShJieufXC6XJwWqJpSoW/z9hps3aWlpCWorSkYpuiUVC3nWd5ZEpjsJKVvfqPNMhb9SxjtSlKQ7EscJwe/hsaBFnhII99SilFStN3q9Op+LlKhb6u9XaU/mUlGK7rDFQl7znYwqiUx3ElK2vlHncM9xpYx3pChFd6SOE7TIM2ko5WkrEpQYwUlBrbpBWU/mkaAU3WGLhQ4f9Mx3MnxUZLrFlO3F0+OgNDyB5jpFlDLekaIE3dE4TtAiz6ShpAlyqSgxgpOCWnWDOu0ElKFbUrGQGHUOvQJMGWS6JLbl9k7ZXnxz7GIlEGiuU0QJ4x0NydYdreMEebSr906VQFpbW5MtIWIEQZC0NjYcra2tzJgxgyFDhpCamsrUqVNjFxcCUXdbWxsPPvggOTk5ZGZmcuONN3Ls2LGQ1y5ZsoTLL7+cTp06kZuby9SpU9m/f7/f+y9cuJAePXpgMpkoKSnhu+++i4v21tZWVdqKEnRHVCw0ejwQge4Ep2xDRZ2gjPGOhmTqdq/jjM5xgjz3cM15SkAJyyYiJV7dQJxOJyaTiTlz5nDNNdfEQVloRN3z5s1jzZo1vPfee2zatImWlhauv/56z9ZRgSgvL+eBBx7gyy+/pLS0FIfDwaRJkzwl9gDPPPMMS5cu5aWXXmLr1q3k5+czceJEmpubY9ZuMBhUaStK0B22WKjDfCdEoDvBVbahok5QxnhHQ7J0h2uAIAU5dGvOUwIq3LUtaOS5bt06Onfu7JlX3LVrFzqdjp/97MwT8syZM7njjjsAd7pj+fLl3HvvvQG3cJNDd2NjIytWrOC5557jmmuuobCwkFWrVrFnzx4+++yzoNd+8sknzJgxg0GDBjF06FDeeOMNjh49yvb2G7MgCCxbtownnniCm2++mcGDB/Pmm29isVh455134qL9bLKVRBK2WOjwQThR5ZnvBIm6E1xl6+AQVtxbjQWKOkEZ4x0NydAdD8cJ8tzDtTlPCYSKdjriXlif+DZWGRkGSZHmuHHjaG5uZufOnRQVFVFeXk5OTg7l5eWec8rKynjooYdi0jNo0CCOHDkS9PVevXoFTZfu2LEDu93OpEmTPMd69OjB4MGD2bx5M9dee60kDU1NTQB07doVgMrKSmpqanze12g0UlxczObNm5k5c6ak9w1GJHaiJJSgO2yxkBh1DhsJJvfSIUm6E5yybWYp4AwadYIyxjsaEq07Xo4T5NGuOU8JRNJn1WKxk5W1REY1gWlpeYzMzDM6gznS7Oxshg0bRllZGUVFRR5HuWjRIpqbmzGbzRw4cICSkpKY9Kxfvz7kushgaRSdTseJEydIS0ujS5cuPq/l5eX57c8aDEEQmD9/PldddRWDBw8G8Fybl5fn976hHL1UlNKPN1KSrdu7WKjHiBGBTxLnO9tTtiBR98EP3N8TkLJ1cAhLiLlOkWSPd7QkUnc8HSfIo11znhKwWq2KWeMkFTEtG6gjTklJCWVlZcyfP5+NGzfy5JNPsnr1ajZt2kRjYyN5eXn0798/ps/v1atX1LqDLVURBEHyPO7s2bP55ptv2LRpk99rHd8jkvcNhbg9ntpsJdm6vYuFcgLZXYD5TpCgu+kQnNyRsJStlKgTkj/e0ZIo3fF2nCDPPVxznhKIpMw5I8NAS8tjMqoJ/rnehFryUVJSwooVK9i9ezd6vZ6BAwdSXFxMeXk5DQ0NFBcXx6wn2rStXq+noKAAm81GQ0ODT/RZW1vLmDFjwn72gw8+yNq1a9mwYQMXXHCB57g4Z1tTU+PTp7a2ttYvGo2GZJfyR0uydYctFgow3wkSdCcwZSs16oTkj3e0JEK3HI4T5NGuOU8JtLS0SG7Bp9PpfNKnySJU5CnOey5btozi4mJ0Oh3FxcUsWbKEhoYG5s6dG/PnR5u2dblcFBYWYjAYKC0t5dZb3em26upqvv32W5555pmg7ykIAg8++CBr1qyhrKyMPn36+Lzep08f8vPzKS0tpbDQHRnYbDbKy8t5+umnI/0R/RAXYiuxXWMokq27qt15hl3f6TXfCRJ0JzBlKzXqhOSPd7TIrVsuxwmR3cOlojlPCagtvQKhI09x3nPVqlW88MILgNuhTp8+Hbvd7jffuXfvXmw2G/X19TQ3N7Nr1y4Ahg0bFvQzok3b6vV6unTpwj333MPDDz9Mt27d6Nq1K4888ghDhgzxWS4zYcIEpk2bxuzZswF44IEHeOedd/jb3/5Gp06dPHOc2dnZmEwmzxKYxYsX069fP/r168fixYvJyMjgzjvvjEqvN2q0E0i+7ur2SttI5jshjO4EpmwjiToh+eMdLXLqlrKtWCzIoV1znhKQ46lFbkJFngDjx49nx44dHkfZpUsXBg4cSFVVFQM6LFKfMmWKTwpWjNrkKP8WdT///POkpqZy6623YrVamTBhAitXrvT5eSoqKqirq/P8f/ny5QB+zv+NN95gxowZACxYsACr1cqsWbNoaGhg5MiRfPrpp3Tq1Clm7VpEETk+xUKBIs8g850QRncCU7aRRJ2g2UlHYukcJBU57uE6QY0LjhKMxWIJOPCtra1UVlbSp08fxW0UK5ZmK2VrL6koUbfU37PFYgHUd1NMpu66/ft5uX9/Uk0mHjt92n/Os/J7KLnEPd/5TYNP2jak7g+K3JFnyWsw6D7Z9Ds4xAlGA066UyrJeWp2coZEOE4Ifg+PBa1JggREo1ETam2wrlbd4LYTNdpKMnWHLRYKMt8JIXQnMGUrRp1GJkpynKDZiUiiHCfIcw/X0rYSMBqNyZYQMWptsK5W3aBOO4Hk6g5bLBRkvhNC6E5QytZ7rvM8Fki+TrOTxDpOkGfMNecpATV2BFFrNl6tukGddgLJ1e0pFopwvhNC6E5QlW2kc50i57qdJNpxgtZhKGmo+YaukTjUaifJ0h22s1CQ9Z2e6wPpTlDKNtIKW2/OZTtJhuMErbdt0kgNNBejcOLRMScZqFU3qNNOIHm6w3YWEqPOwlF+850QRLcnZTte1pRttFEnnLt2Iuc6znDIMebqnWBKIG1tbcmWEDFqLbxRq25w24kabSVZusMWC4WY74Qguj0p2+nxERmAWKJOODftJJmOE+S5h6vzESjBqK2kHNRbeKNW3aBOO4EkdhYKtQ1ZmPlOCKA7QSnb0zxHtFEnnHt2kmzHCfKMuXrvVAlEXBysJtQawalVN7jtRI22kizdnm3IopjvhAC6E5CydVCB1RN1PhLVe5xLdqIExwny3MO1yFMCamynpdYITq26QZ12AsnRHbaz0Jft+8sWjoJ0U8D38NOdgJTtaZYCrvZ1ncOjeo9zxU6U4jhBnjFX750qgajxKVGtEZxadcO5FVHEiuRioSApW+ig25Oy1cuWsvWOOs+LYq5T5FywEyU5TpDnHq45Twmo8UlRr9fHJYprbW1lxowZDBkyhNTUVKZOnRq7uBCIutva2njwwQfJyckhMzOTG2+8kWPHjoW8dsmSJVx++eV06tSJ3Nxcpk6dyv79+33OmTFjBjqdzudr1KjAacFIycrKUqWtJEO3ON8ZsFhIwnwndNDtSdleLVvKNh5RJ5z9dqI0xwla5Jk0zGZzsiVETLwiOKfTiclkYs6cOT47msiFqHvevHmsWbOG9957j02bNtHS0sL1118fcrFzeXk5DzzwAF9++SWlpaU4HA4mTZrk9/u77rrrqK6u9nytX78+LtrNZrMqbSUZuqtDdRY6UgE1x0POd0IH3TKnbOMVdcLZbSdKdJwgzz08+T+VCjCZAs+5KJlgUee6deu46667qK+vR6/Xs2vXLgoLC3nkkUd49tlnAZg5cyanT5/m3XffJTMz07NbyRdffEFjY6PsupuamlixYgV//vOfPQ571apVXHjhhXz22Wdce+21Aa/95JNPfP7/xhtvkJuby/bt2xk3bpznuNFo9GyMHU/UaCeQHN0hi4XEJSoh5jvBS3cCqmzjFXXC2Wsncm8rFgtyjLkyfjKFE2pT544IAiSj53NGBnj3FwjWUUPcCHvnzp0UFRVRXl5OTk4O5eXlnnPKysp46KGHYtIzaNAgn23MOtKrVy++++47v+OCILB9+3bsdjuTJk3yHO/RoweDBw9m8+bNQZ1nR5qamgDo2rWrz/GysjJyc3Pp3LkzxcXF/O53vyM3N1fSe4YiEjtREonWHb5YqMz9PUTKFrx0V8pbZRvPqBPOTjtJVucgqcgx5sr56RRMJF1vLBbIin1ryIhpaYbMzPDniRthl5WVUVRU5HGUixYtorm5GbPZzIEDB/z2xIyU9evXhzRYg8EQ9LWamhrS0tLo0qWLz/G8vDzPBtfhEASB+fPnc9VVVzF48GDP8cmTJzN9+nR69epFZWUlv/zlL7n66qvZvn17zM2j1dodKdG6QxYLSZzvBC/dB9udp0wp23hGnXD22YnSHSfIM+bK+gkVipL2lpRKKGMpKSmhrKyM+fPns3HjRp588klWr17Npk2baGxsJC8vj/6BKiAjoFevXlFdJxbxBEIQBMl/BLNnz+abb75h06ZNPsdvu+02z78HDx7MiBEj6NWrFx9//DE333xzVJpF1GgnkHjdIYuFJM53glu3rrkSTm6XLWXrG3VK3zklFGeTnajBcYI8Y668n1KB2Gw2yedmZLijwETTsYFGqEbIJSUlrFixgt27d6PX6xk4cCDFxcWUl5fT0NBAcXFxzHpiSdvm5eVhs9loaGjwiT5ra2sZM2ZM2M9+8MEHWbt2LRs2bOCCCy4IeW5BQQG9evXi+++/D/u+4YjETpREonWHLBaSON8Jbt3ph1a7/yPT9mNi1BltN6FAnC12ohbHCfKMuTJ/0iBs2LCBZ599lu3bt1NdXc2aNWtCLp0oKytj/Pjxfsf37dsXUWQVyWSzTictfSo3oSI0cd5z2bJlFBcXo9PpKC4uZsmSJTQ0NDB37tyYPz/atK1Op6OoqAiDwUBpaSm33ureVqq6uppvv/2WZ555Juh7CoLAgw8+yJo1aygrK6NPnz5hdZ46dYoffviBgoKCsOeG42wtBIk3IYuFJKZswa3beGyd+z8ybD/m200o9rlOkbPBTtTkOEErGMJsNjN06FB+8pOfcMstt0i+bv/+/Zx33nme/3fvHtkTaktLi+r6UYrLVAKlK8R5z1WrVvHCCy8Aboc6ffp07Ha733zn3r17sdls1NfX09zczK5duwAYNmxY0M+PNm3rcrno1KkT99xzDw8//DDdunWja9euPPLIIwwZMsRnucyECROYNm0as2fPBuCBBx7gnXfe4W9/+xudOnXyzI9mZ2djMploaWlh4cKF3HLLLRQUFHD48GEef/xxcnJymDYt9pSfuBBbbbaSSN2Cy0X1jh1AgGIh7/nOkeGzH5aab8k4tVO2lK0cUSeo306qM6pV5ThBnnu4sn/iDkyePJnJkydHfJ1YWRktalzQHK5Bwvjx49mxY4fHUXbp0oWBAwdSVVXFgAEDfM6dMmWKTwq2sNB9I5FjjzxR9/PPP09qaiq33norVquVCRMmsHLlSp+HgYqKCurq6jz/F5fUdHT+b7zxBjNmzCAlJYU9e/bw1ltv0djYSEFBAePHj+f999+nU6fYq7zUaCeQWN2nDhzA1tISuFjIe76zaHTY9zqv9p/uf8iQspUr6gR128lhfSV/4QNVOU6QZ8yV/1PHgcLCQlpbWxk4cCC/+MUvAqZyRQJtu1NZWUm/fv1oaWkhKyuLlpYWMjMzaW5uxuVy4XA4cDgc6HQ6XC4Xer3e77tY7CI6nFDnel8TzbmCIOB0OnG5XKSlpQU89+mnn+app54C8Jy7fft2T5MC73MrKioCarHb7bLqXrp0KcuWLfM51+l0eq6pqKjA5XJ5rnE4HEHH2+l0kpqayvr16wNq8X5f8TpRv9PpxOl0YrVaaW5uJiMjg7a2NnfBik6H3W4nPT2do0ePkpGRgclk8rGT1tZWDAaDR39aWhpWq5XMzEwfm8rKysJisWA0Gj16UlNTaWtrIyMjw+9cs9mMyWTCbrej0+lISUnBZrN5ouyO53bU7XA4MBqN/PDDD5hMJh/dWVlZWK1Wj26Xy4XBYIhZ99HNmwHoPmQITc3N6HQ6jy1llX+KEXBedgWnTjeT5RI8YyjqFn+XRqMR/YH3ATidex2pFkvMusGdqWlra0Po/AykujA4J9B46nyysiw+463X6z2/+0DjHUp3uPF2uVwIgiBJt3jfEXWHs5NIdKempnps1mg0svXU15Rf8G+cOLnY2ZcJp67BlmWjydpEWlqa53cfb902m83vb81sNgfU3fFvzWg0YrFYsFgsUWfDgnFWdxgqKCjg9ddfZ/Xq1Xz00UdceumlTJgwgQ0bNgS9ZsmSJWRnZ/t8vfHGGwlUHR/i1Z4v0ahVN7jTcJlKmPCOkETqrmlf35lX6J8GTdnq/rt0XTE27PvomisxNX+HoNPTdsGUuGp06Q9jS1kDQLp9XlzfG9RpJ4f1lW7HqXfSu60P09puIUVFsZcc460T5Mi9JQCdThe2YCgQN9xwAzqdjrVr1wZ8PVDkefr06YBVm62trVRWVtKnTx/S09Mj0iE3YrFOqPWUSkSJuqX+nk+ePAlEPqeebBKpe2VxMUc2bOCmlSsZdvfdZ14QBBh1oTtt++6/YEzw7BAAO56GLY9iyx1L2vTgD8PRUM8DWHkfIxPJ4d24vjeoz068i4N6t/Xhv40zVJGq9ebkyZNxH291jUAcGDVqFKtWrQr6utFo9Fssr8Z1WWqN3tSqG9RXACKSKN0hi4UiWN8JeBojCBf/v7hqlGNdZ0fUZCfejvNiR1+mOm4m1ag+t6Fthh0Hdu7cGfGyhI6RqBoQBEGWgh65UatuCJy1UAOJ0h2yWCiC9Z3uXrbbEXR6LPnXxVWjXBW23qjFTjouR5l8+kc424JvzKBk5BhvVT1CtLS0cPDgQc//Kysr2bVrF127dqVnz5489thjHD9+nLfeeguAZcuW0bt3bwYNGoTNZmPVqlWsXr2a1atXR/S5aow8NRKPWu0kUbqr2td3BuwsFMH6TnH7MWfeWPSZeXHTJ2eFrTdqsJNA6zjNKerbCUbknO8wtG3bNp9K2fnz5wNw9913s3LlSqqrqzl69KjndZvNxiOPPMLx48cxmUwMGjSIjz/+mClTIiswUGMvSjVqBvXqBvVqT5TuoJ2FIuhnC3hStvZeU+Oq3beHrTxRJyjfToI1QFC67lCc871tS0pKQqb0Vq5c6fP/BQsWsGBB7PMWDocj5vdINGpNfapVN6jTTiBxuj2dhWKZ72xP2aLT09pjCkKctMd755SQn6VgOwnVOUjJusMhh3ZVOc9kEetuG8lArU+JatUN6rQTSIxun23IOrbli2S+s+LM9mNp2efHTV+8d04JhVLtJFzLPaXqloIc2s+5gqFoUOOu72KjA7WhVt3gthM12koidIfchiyKlC0XT4+bbgeHsPIXQP6oE5RpJ1J61SpRt1Tk0K1FnhJQYzsttS75UKtuUKedQGJ0B92GLJL5Tq+ULRffTJYQn4XvzSwFnAmJOkF5dlLBQd7mz2Fb7ilNdyTIoV29d6oEIjZEVhPxiuBaW1uZMWMGQ4YMITU1NeKmFJEi6m5ra+PBBx8kJyeHzMxMbrzxRo4dOxby2uXLl3PZZZdx3nnncd555zF69Gj+8Y9/+JyzcOFC+vfvT2ZmJl26dOGaa67hq6++iov2lpYWVdpKInQHLRaKZL7TK2WLqXtcdDs4hCVBc50iSrITqY4TlKU7UuTQrTlPCajxiStebe6cTicmk4k5c+b47GgiF6LuefPmsWbNGt577z02bdpES0sL119/vacHaSAuuOACnnrqKbZt28a2bdu4+uqruemmm3z2Db3kkkt46aWX2LNnD5s2baJ3795MmjTJ0/UlFrKyslRpK4nQHbRYaMu/3d+lzHce/MD9vX37sXjoTnTUCcqxk0gcJyhHdzTIolvQCMuJEycCHrdarcLevXsFq9WaYEXhsdlsgs1m8zu+du1aITs7W3A6nYIgCMLOnTsFQHjkkUc859x3333C7bff7nft3XffLdx0002yaRYEt+6TJ08KBoNBeO+99zzHjx8/Luj1euGTTz6J6P26dOki/N///V/Q15uamgRA+Oyzz4KeI/X3fOLEiaC2omTk1u1yOoXFnToJC0Go+eYb3xcfvFMQeiIIv/9l6DdprBCElxCEl1MEwVIrCELsuu1ChXBMyBWOCd2ENmF71O8TKUqwk4PC98Ii4VfCL4XHhT8Lbwp2wR72GiXojhY5dGtznhKI5KlFEMASfA9o2cgwuDfiFgkWdYobYe/cuZOioiLKy8vJycmhvLzcc05ZWRkPPfRQTHoGDRrks41ZR3r16uUTEXrr3rlzJ3a7nUmTJnmO9+jRg8GDB7N582auvfbasJ/vdDr58MMPMZvNjB4deHsrm83G66+/TnZ2NkOHDpXwU4VGeyoPjHexUHfv7e685ztHh+ll60nZlni2H1Nj1AnJt5NII06RZOuOBW1LsiRhtVol90a02CHrKZkFBaDlUchMO/N/Ich6SXEj7LKyMoqKijyOctGiRTQ3N2M2mzlw4IDfnpiRsn79ek+T90AEa/wuCAI1NTWkpaXRpUsXn9fy8vI8G1wHY8+ePYwePZrW1laysrJYs2YNAwcO9Dnn73//O7fffjsWi4WCggJKS0vJycmR+JMFx2q1AurqXQry664O1lno8EE4USVtvrNDyhZi052MuU6RZNpJtI4T1GvfENk9XCqa85SAknb4kEqo9ZIlJSWUlZUxf/58Nm7cyJNPPsnq1avZtGkTjY2N5OXl0b/jcoIIiXbvPJ1OF1S70L7HZiguvfRSdu3aRWNjI6tXr+buu++mvLzcx4GOHz+eXbt2UVdXxx//+EduvfVWvvrqK3Jzc6PSLKJGOwH5dYuVtn7FQmLUGW6+s+kQnNwBuhS4aJrncCy6T/McyYg6IXl2EovjBPXaN8ijXXOeEggWxQUiw+COAhNNRgfbCKW5pKSEFStWsHv3bvR6PQMHDqS4uJjy8nIaGhooLi6OWU+0aVtBEMjLy8Nms9HQ0OATfdbW1jJmzJiQn5uWlkbfvn0BGDFiBFu3buWFF17gtdde85yTmZlJ37596du3L6NGjaJfv36sWLGCxx57LNIf00+7GpFbd/BioTL393BLVAKkbCF63YnsJhSIZNhJrI4T1GvfII92zXlKIJIlHzqdb/pUiYjznsuWLaO4uBidTkdxcTFLliyhoaGBuXPnxvwZ0aZtAYYPH47BYKC0tJRbb3Wn6aqrq/n222955plnItIhCELYHRWknCMFtTZ3kFO3d2chn8gzkvWdAVK2EL3uRHYTCkSi7cTdACE2xwnqtW+QR7vmPCWgxnRFqPSmOO+5atUqXnjhBcDtUKdPn47dbveb79y7dy82m436+nqam5vZtWsXAMOGDQv6GbGkbTt37sw999zDww8/TLdu3ejatSuPPPIIQ4YM8VkuM2HCBKZNm8bs2bMBePzxx5k8eTIXXnghzc3NvPfee5SVlfHJJ58A7i4jv/vd77jxxhspKCjg1KlTvPLKKxw7dozp06dHpdcbNdoJyKs7aLGQ1PnOIClbiE53sqNOSKydSOkcJBW12jdoadukYbVaVVdpJj5pBduKZ/z48ezYscPjKLt06cLAgQOpqqpigPdNDpgyZYpPCraw0L3jhBypEFH3888/T2pqKrfeeitWq5UJEyawcuVKn5+noqKCuro6z/9PnDjBXXfdRXV1NdnZ2Vx22WV88sknTJw4EXCPxX/+8x/efPNN6urq6NatG5dffjkbN25k0KBBMWsXCyrUZity6g5aLCR1vjNIyhai053sqBMSZyfxdJygXvsGee7hmvOUQGZmfNqAJZJwDRJ+//vf8/vf/97nmBhRduTw4cNxUhUeUbfBYODFF1/kxRdfDHpuR10rVqwI+d7p6el89NFHMWsMhhrtBOTVHbRYSOp8Z5CULUSuWwlRJyTGTuLtOEG99g3yaNc6DElAjS2p1NpgXa26Qb3ty+TUHbBYSOp8Z1NFe8pW75eyhch1KyHqBPntRA7HCeq1b5DnHq5FnhJQY5pCrQ3W1aob1GknIJ/uoMVCUuc7xR1Uzr/aL2ULkelWStQJ8tqJXI4T1GvfoDWGTxpqfNpSawSnVt2g3idzuXQHLRYSo85hI6XNd/YNXMwViW6lRJ0g33jL6ThBvfYNWuSZNNT4xKXWCE6tukGddgLy6Q5aLCRlvtOTsvWvshWRqltJUSfIM97xWMcZDrXaN2iRZ9KwWCzJlhAxao3g1Kob3HaiRluRS3fAYiGp852elO34gClbkK5bSVEnxH+8E+E4Qb32DfLcw7XIUwJGozHZEiJGrRGcWnWDOu0E5NMdsFhI6nxnmJQtSNOttKgT4jveiXKcoF77Bnm0a85TAqH2kFQqam2lpVbdoE47AXl0By0WEqPOoVeAKUijbgkpW5Cmu5nnUVLUCfEb70Q6TlCvfYM82jXnKQE139A1Eoda7UQO3UGLhcT5zlBbkElI2UJ43cncOSUU8RjvRDtOUK99g9bbNmmkpqpvmMLtPqJU1Kob1GknII/ugMVCUuc7JaRsIbzuZO3XGY5YxzsZjhPUa98gj3b1TjAlkHg0DU80ai28UatucNuJGm1FDt0Bi4WkzHdKTNlCaN1KjTohtvFOluME9do3yHMP15ynBNS4+ater49L8U1rayszZsxgyJAhpKamMnXq1NjFhUDU3dbWxoMPPkhOTg6ZmZnceOONHDt2LOS1Cxcu9OwHKn7l5+f7nCMIAgsXLqRHjx6YTCZKSkoCbo0WDRkZGaq0FTl0BywW8l7fGWy+U2LKFkLrPhN1XqOoqBOiH+947Y4SLWq1b5DnHq45TwmocWFwvCI4p9OJyWRizpw5PjuayIWoe968eaxZs4b33nuPTZs20dLSwvXXXx924n/QoEFUV1d7vvbs2ePz+jPPPMPSpUt56aWX2Lp1K/n5+UycOJHm5uaYtat1EXm8dQctFpKyvlNiyhaC6/aNOhdIkZxQohlvuRsgSEGt9g3y3MM15ykBNS4ODhZ5rlu3js6dO3sc665du9DpdPzsZ2dSWzNnzuSOO+4A3A2Vly9fzr333usXxcmlu7m5mRUrVvDcc89xzTXXUFhYyKpVq9izZw+fffZZyOtTU1PJz8/3fHXv7rt58rJly3jiiSe4+eabGTx4MG+++SYWi4V33nknZu1ZWVmqtJV46w5YLCRlvjOClC0E163UuU6RSMdbCY4T1GvfoDVJSBqRPLUICJhxJfxLwLeaLFjkKW6EvbM9MigvLycnJ4fy8nLPOWVlZRQXF0c5Wm4GDRrk+WML9BVsCzCXy8W2bduw2+1MmjTJc7xHjx4MHjyYzZs3h/zc77//nh49etCnTx9uv/12Dh065HmtsrKSmpoan/c1Go0UFxeHfV8pqPXJPN66AxYLSZnvjCBlC4F1K3muUySS8VaK4wT12jdo7fmSRiRPLRYELiL03JwcHOICMjlTqRpsvlPcCLusrIyioiLKysp46KGHWLRoEc3NzZjNZg4cOOC3IXakrF+/HrvdHvT1YJvT6vV6amtrSUtLo0uXLj6v5eXlUVNTE/Q9R44cyVtvvcUll1zCiRMnePLJJxkzZgzfffcd3bp181ybl5fn977e+5VGi/ZU7iZgsZCU+c4IUrYQWLfSo06QPt5KcpygXvsGebRrzlMCZrNZdRPloTbDLikpoaysjPnz57Nx40aefPJJVq9ezaZNm2hsbCQvL4/+/fvH9Pm9evWKWnewuVpBEEIuZZk8ebLn30OGDGH06NFcfPHFvPnmm8yfP9/zWsf3CPe+UjGbzYD6CszirTtgsVC4+c6mQxGlbMFftxqiTpA23kpznKBe+wZ57uGa85SAyRRi54cOZKDjEBfIqCb453oTqtK2pKSEFStWsHv3bvR6PQMHDqS4uJjy8nIaGhpiTtmCO20bKprr1atXwCpXvV5PQUEBNpuNhoYGn+iztraWMWPGSNaQmZnJkCFD+P777wE8c7Y1NTUUFBT4vG/HaDQaIrETJRFP3QGLhaTMd1ZElrIFf92neQ6lR50QfryV6DhBvfYN8mhP/m9EBYRKP3ZEh84nfZosQnXUEOc9ly1bRnFxMTqdjuLiYpYsWUJDQwNz586N+fOjTdsKgsDw4cMxGAyUlpZy6623AlBdXc23337LM888I1lDW1sb+/btY+zYsQD06dOH/Px8SktLKSwsBMBms1FeXs7TTz8t+X2DEYmdKIl46g5YLCRpvvMD93eJKVvw1a3EHrbBCDXeSnWcoF77Bnm0K+O3onDU3PUmEOK856pVq3jhhRcAt0OdPn06drvdb75z79692Gw26uvraW5uZteuXQAMGzYs6GdEm7YV9d1zzz08/PDDdOvWja5du/LII48wZMgQn+UyEyZMYNq0acyePRuARx55hBtuuIGePXtSW1vLk08+yenTp7n77rsB9+9x3rx5LF68mH79+tGvXz8WL15MRkYGd955Z9R6RdRqJ/HULc53+hQLhZvvjCJlC766lbZzSiiCjbeSHSeo175BHu3K+c0oGDXu9BHOWMaPH8+OHTs8jrJLly4MHDiQqqoqBnj3IgWmTJnik4IVozY5+kWKup9//nlSU1O59dZbsVqtTJgwgZUrV/rM4VZUVFBXV+f5/7Fjx7jjjjuoq6uje/fujBo1ii+//NLHkS9YsACr1cqsWbNoaGhg5MiRfPrpp3Tq1Clm7Wq0E4ivbnG+M6L1nZ6UbYnklC2c0a2mqBMCj7fSHSeo175BHu06Qc3dfhPEqVOn6Natm9/x1tZWKisr6dOnD+np6UlQFhyHwwGorx+lEnVL/T2fOnUKIKCtKJl46l5ZXMyRDRu46Y03GDZjhnu+c+QF7rTtO5/DlVf7X/TBCDi5HUpeg0H3Raxb1+1XWHkfIxPJ4d2Yfwa56TjeanCcoF77huD38FhQ1aPEhg0buOGGG+jRowc6nY6//vWvYa8pLy+nqKiI9PR0LrroIl599dWIP1eNE+Viezq1oVbd4LYTNdpKvHQHLBbynu8sGu1/UdMht+OMMGULbt1pGTWqijrBd7zV4jhBvfYN8tzDVeU8zWYzQ4cO5aWXXpJ0fmVlJVOmTGHs2LHs3LmTxx9/nDlz5rB69eqIPleNC4PV2mBdrbpBvYvI46U7YLGQON9ZOArSA9zAokzZglt3s4rmOkXE8VaT4wT12jdoTRKYPHmyz1q+cLz66qv07NmTZcuWATBgwAC2bdvG73//e2655RbJ76PGxcFqnZ9Qq25Qp51A/HQHLBYKN98pdhW6WHqVrYip00lOp68D1BN1gnu8D+sr+QsfqMZxgnrtG7T2fBGzZcsWn1ZsANdee62n/ZtU1Pi0pdYITq26Qb1P5vHS7VcsFG59p3fK9uKbI/68ZpaCTl1RJ8C+tr18aHxfVY4T1GvfVTh4jIa4v6/yf2MxUFNTE7AVm8PhoK6uzmehvEigPesaGxvJysqipaXF8z0zM5Pm5mZcLhcOhwOHw4FOp8PlcqHX6/2+i11sxPqsUOd6XxPNueK/XS4XTqczJi3nqm7xelGL0+nEarXS3NxMRkYGbW1tpKSkoNPpsNvtpKenY7VayczMpLa21sdOWltbMRgMCIKA0+kkLS3Nc663TWVlZWGxWDAajTidTgRBIDU1lba2NjIyMvzONZvNmEwm7HY7Op2OlJQUbDYbJpMp4LkddTscDoxGI62trWRkZPjozsrKwmq1enS7XC4MBkNI3T98/TUA2f3709zcjP37vXQ9UYVgSMPa/zJa2t9f1K3/9i0yAEfeVTRZ9JgEi9/7imMo6gb3Tj+p6VW4TOvQAY76n2JJt0StWxxvcHfkkjLeer3e87sPNN7BdFebqvh79lqcOie92/pwo3Mq9S31PrpdLheCIEjSLd535NCdmprqsdlwdpKWluax2Xjrttlsfn9rZrM5oG7vv7XjLjt/ynLyXmob9gx4IQLfIYWzOvKEwK3YAh0XWbJkCdnZ2T5f4lpINaHWCE6tugEsFounhZmaiIduweXi5DffAJDXvv7XsM3dbN8+uCjgfGfa0b+5X+8VWaEQQKvhRXQ6Fy7LWPSOIVGqTixHU4+wOv1DnHonF1p6MrlpiioiThG12He1zsWidCuTOlv4s6ENuw6Gt8qwrE6tS1V0Oh1r1qwJuTnzuHHjKCws9HF+a9as4dZbb8VisQTschMo8nQ4HHTt2tXvXCUvVfF+klYTStQt9fcs3lgyMzMTJS0uxEN33f79vNy/P6kmE4+dPu2e85zzY/jbOzD3VzB/ke8FTYdg1cXulO1PqiMqFnJQwQlGAy6yrOvINgWo4lUY3sVBFzv6MrXtZrIzs5MtKyKUbt9VOHiR06yiBVv7sTEYeYRshpmdcdetnseeKBg9ejTr1q3zOfbpp58yYsSIoO3hjEYjRqPR51h9fb1sGuVCpc9EqtUNeB66lHpzCUY8dPsVC4Wb74yhylbsJqS3jcdpvRQUvnqiY1XtpNPX4cQJ6jITxdp3KKd5Je6H3fq2+nPbeba0tHDw4EHP/ysrK9m1axddu3alZ8+ePPbYYxw/fpy33noLgPvvv5+XXnqJ+fPnc++997JlyxZWrFjBu+9GtpBaSVGQhnJRq53EQ7dfsVC4frZilW3fWyP6HO9uQkbbHMWPeaDlKOYU5ac+A6G0sZbiNEXk0K4q57lt2zbGjx/v+b+4zdTdd9/NypUrqa6u5ujRo57X+/Tpw/r163nooYd4+eWX6dGjB3/4wx8iWqaioaERHr9tyEKt74yhMYIYdaYziRTnZbGJlhm1reNUC4Gc5uh2p3kViZs+U1XBUElJCYIg+H2tXLkSgJUrV1JWVuZzTXFxMTt27KCtrY3Kykruv//+iD9XnIc7F2ltbWXGjBkMGTKE1NTUkHPM8eT111+npKSE8847D51OR2Njo6TrXnnlFc/cZFFRERs3bvR5XRAEFi5cSI8ePTCZTJSUlATcGi0axKpctRGrbu/OQj1GjHAf/LLc/T2OKVvvqLMTP1P0eIdynErWHYpk63YvOalnJFX8qd1xjsbIR+TyV/JCOk45dKvKeSaLjnOgaiBebe6cTicmk4k5c+b47GgiF6Jui8XCddddx+OPPy752vfff5958+bxxBNPsHPnTsaOHcvkyZN9shHPPPMMS5cu5aWXXmLr1q3k5+czceJEmpubY9YeaL5cDcSq27uzUE7//uHnO6NM2frunFKo2PEOF3EqVXc4kqU7mNNc3e40O6ZoAyGHbs15SkAN5dkdCbbkY926dXTu3Nnz2q5du9DpdPzsZ2c6tMycOZM77rgDcBcHLF++nHvvvdezmXQidM+bN49HH32UUaOC7P8YgKVLl3LPPffw05/+lAEDBrBs2TIuvPBCli9fDrijzmXLlvHEE09w8803M3jwYN58800sFgvvvPNOzNrNZrMqbSVW3X7FQkcqoOZ44PnOKFO2vjunLIiLbjmQkqpVom4pJFp3LJFmR+TQrSXgJRBJaycBATuJ3zTWgAGd1ybcwdrciRth79y5k6KiIsrLy8nJyaG8vNxzTllZGQ899FBMegYNGuSzjVlHevXqFTBdGm17PpvNxvbt23n00Ud9jk+aNInNm93rDSsrK6mpqfHpOmU0GikuLmbz5s3MnDkzqs8WUWv7slh1+xULiS35As13Rpmy9Z7rTMO9JZ7SxlvqHKfSdEslUbqPt89pvt1hTvNnAQqBpCKHds15SqClpYWMjACb+AbAjp0nWRT+xDjzC35NGmme/4uRZccqM3Ej7LKyMoqKijyOctGiRTQ3N2M2mzlw4IDfhtiRsn79+pAtEIMtFQqmOxx1dXU4nc6AHaVqamoAPN8DnRPK0UtFbF0m1VaUQqy6PcVCnvnOMvf3gCnbD9zfI0jZdpzrFFHSeEdSHKQk3ZEgt+4qHPwhzk5TJJJ7uFQ05ykBNT4phorgSkpKKCsrY/78+WzcuJEnn3yS1atXs2nTJhobG8nLy6N///4xfb73BtSREGtj+EAdpToek3JONKjRTiA23YLLRfWOHUB7pa33fOfIYt+Tmw7ByR0Rp2w7znXGQ3c8ibSqVim6I0Uu3YEizWBLTqJFizyTRCRPLQYM/IJfy6wo8Od6EyqCKykpYcWKFezevRu9Xs/AgQMpLi6mvLychoYGiouL/a6JlGjTttFGnjk5OaSkpHiiS5Ha2lpPpCnO2dbU1Pj0NfY+JxbOxYji1IED2FpazhQLec93dty/M4qUre9cp+/OKUoY72iWoyhBdzTEW3cinKaIFnkmiUieWnTofNKnySJUBCfOey5btozi4mJ0Oh3FxcUsWbKEhoYG5s6dG/PnR5u2jTbyTEtLo6ioiNLSUqZNOxPVlJaWctNNNwHudb/5+fmUlpZSWOiOYGw2G+Xl5Tz99NNRfa4352JEUdWesvUUC4Wa74wiZXs6xH6dyR7vaNdxJlt3tMRLdyKdpogWeSYJq9WquqfEUG3uxHnPVatWefr+jhs3junTp2O32/3mO/fu3YvNZqO+vp7m5mZ27doFwLD2BuCBiDZtK+quqamhpqbG01Fqz549dOrUiZ49e3r6DE+YMIFp06Yxe/ZswN0046677mLEiBGMHj2a119/naNHj3rW9up0OubNm8fixYvp168f/fr1Y/HixWRkZHDnnXdGpdcbq9UKqC+iiEW3X7FQsPnOKFK2Dg4FjTpj1R0rsTRAOBftBALPacrtNEXkuIdrzlMCwaIkJRNuDm/8+PHs2LHD4yi7dOnCwIEDqaqqYsCAAT7nTpkyxScFK0ZtcvShFXW/+uqrLFp0pvBq3LhxALzxxhvMmDEDgIqKCurq6jzn3HbbbZw6dYrf/OY3VFdXM3jwYNavX+/jyBcsWIDVamXWrFk0NDQwcuRIPv30Uzp16hSzdjXaCcSm26dYKNT6zihSts0hok5I3njH2jnoXLOTSNroyYUcY67aXVUSSVNTE9nZ/jsgKHlXFYfDAUBqqrqej5SoW+rvuampCSCgrSiZaHULLhdPZWdja2nhf/fsITcrHYr7uec79zT6pm0/KHJHniWvwaD7wr63g0PtO6c46c6nAZ1nMsY7Hi33zhU7UYLTFAl2D48F5dyhFIxa95fUSCxqtZNodfsVC3240v1Cx/nOKFK27qjTGTTqjEV3tMSrV+3ZbidKcpoicoy55jwloMY0SzyWXiQDteoGddoJxJCO61gsFKeUrYNDWELMdYokcrzj2eT9bLUTJTpNETnGXHOeErBaraqrkIt2yUeyUatuOFNQoTZbiVa3T7FQqPnOCKtspUSdkLjxruAgb/PnuO2OcrbZiZKdpogc93DNeUpAaZu/SiHWZgPJQq26QZ12AtHr9ikWCtbPtqmiPWWrl5SylRp1xqI7EuLtOOHssROlbA0mBTnGXHOeEpBjga3cqDWCU6tuOLcWv/t1Fgq2vlPcQeX8qyWlbE/zHFKizmh1R4IcjhPUbyeNGWkBnWY82ujJhdYkIUmoLb0C6o3g1Kob1GknEJ1uv2KhPz7lfiHYfGff6WHfM1Q3oUDIOd5yOU5Qr52c7mRieaqVD6hSjdMU0ZokJAkt8kwcatUN6o8oItHtUyyUkhJ4vtOTspVWZRuqm1C8dEtBTscJ6rMTsbnBqvQW7O31fGpxmiJa5Jkk1PikqNYITq26QZ12AtHp9ikWCjbf6UnZjg+bso006oxWdzjkdpygHjvxa6Ong1FOAwtSuqjGaYpokWeSsFgsqnlKFFFrBKdW3eC2E1BPRCESjW6fYqEt/3YfHDbSd74zgpRtpFFntLpDkQjHCcq3k2Bt9O5tgivsKeTkqMtxgjz3cM15SsBoNCZbQsSoNYJTq25Qp51A5Lr9ioVeX+J+YfT4MydFkLKNJuqMRncoEuU4Qbl2Eq5he7O+GZQpPSxyjLl671QJxOl0JltCxAiCEJfes62trcyYMYMhQ4aQmprK1KlTYxcXAkEQOHXqFA8++CCXXnopGRkZ9OzZkzlz5njag4XilVde8bTRKyoqYuPGjX7vv3DhQnr06IHJZKKkpCTg1mjR4HQ6VWkrker2KRa69NLA850RpGyjiTqj0R0MdwOExDhOUJ6dHMfBo9QziireaHecYzDyEbmsIc+TolWa7kiQQ7fmPDVC4nQ6MZlMzJkzh2uuuSYhn1lVVUVVVRW///3v2bNnDytXruSTTz7hnnvuCXnd+++/z7x583jiiSfYuXMnY8eOZfLkyRw9etRzzjPPPMPSpUt56aWX2Lp1K/n5+UycOJHm5ma5f6yzBp9ioWOH4USV/3ynxJRttFFnvIhn5yC1IdVpagRGc54SiGT+TUDAhTnhXwK+UaZOpwvY6m7dunV07tzZM7e4a9cudDodP/vZmRvXzJkzueOOOwD34uLly5dz7733ejaTlhOdTseQIUNYvXo1N9xwAxdffDFXX301v/vd71i3bp2ncXwgli5dyj333MNPf/pTBgwYwLJly7jwwgtZvnw54I46ly1bxhNPPMHNN9/M4MGDefPNN7FYLLzzzjsxa09JSVHlXG2kun2KhcSo03t9ZwQp22ijzmh0dyRZjjPZdlIVpdNMtu5YkEP3ufGIFSNtbW2St6wSsFBNdHtZxkIBR9BxpotGsMIbcSPsnTt3UlRURHl5OTk5OZSXl3vOKSsr46GHHopJz6BBg3y2MetIr169AqZLg+luamrivPPOC7rbis1mY/v27Tz66KM+xydNmsTmzZsBqKyspKamhkmTJnleNxqNFBcXs3nzZmbOnCnthwtCW1sbQFy2N0skker2LRb61H0wipStb9S5IDLRxDbeyYw4k2UnsbbRU6N9nzTDR/+Bd3YbKf+f+L635jwloNSquFAEK7wRN8IuKyujqKjI4ygXLVpEc3MzZrOZAwcO+G2IHSnr16/HbrcHfT1Yo+ZAuk+dOsVvf/vbkM6trq4Op9NJXl6ez/G8vDxqamoAPN8DnRPK0UtFjXYCMXQWGj4cXn7c/YK385SYshWjznQmkUZhBIrdRDveyU7VJtpO4tV7Vi32LTrMD/fCvw+DSwBIi/vnaM5TApEssNWRQQGx34gjRYevvlBLPkpKSigrK2P+/Pls3LiRJ598ktWrV7Np0yYaGxvJy8ujf//+Menx3oA6EjrqPn36ND/60Y8YOHAgv/71r8Ne3zFVLQiC3zEp50SD2ha/i0Si26dYKD3Vf75TYsrWO+rsFOVcZzTjnWzHCYmzk3g3bFeyfQd2mG6KCmByzxZAawyfcCJZYKtD55M+TRahlnyUlJSwYsUKdu/ejV6vZ+DAgRQXF1NeXk5DQwPFxcUxf360aVtv3c3NzVx33XVkZWWxZs2akNsK5eTkkJKS4okuRWpraz2RpjhnW1NTQ0FBQcBzYkEti987Eolun2KhbZvcB73nOyWmbGONOiHy8VaC4wT57USuhu1Ks+9aM6z5D3zwHZQd8XeY0we6vy7qAhZL/Mt7NOcpgbOtPZ8477ls2TKKi4vR6XQUFxezZMkSGhoamDt3bsyfH23aVtRtNpu59tprMRqNrF27lvT00H/0aWlpFBUVUVpayrRpZyKe0tJSbrrpJgD69OlDfn4+paWlFBa6b9g2m43y8nKefvrpiH6+QCj5yTwUkej2KRYSm8FHmLKNR9QJkelO5DrOcMhlJ8GcZrza6CnBvsM5zFsHwv9rd5jeaO35koTSnrikECryFOc9V61axQsvvAC4Her06dOx2+1+85179+7FZrNRX19Pc3Mzu3btAmDYsGFBPyPatK1er/dEnBaLhVWrVnH69GlOnz4NQPfu3T0PBBMmTGDatGnMnj0bgPnz53PXXXcxYsQIRo8ezeuvv87Ro0e5//77AXe6dt68eSxevJh+/frRr18/Fi9eTEZGBnfeeWdUer1Ro51AZLo9xULDh8PyX7gPis5TYso2HlEnSNetJMcJ8beTRG0Nliz7jtZheqO150sSZrNZddFEuDZ348ePZ8eOHR5H2aVLFwYOHEhVVRUDBgzwOXfKlCk+KVgxaotHE4ZAurdt28ZXX30FQN++fX1er6yspHfv3gBUVFRQV1fnee22227j1KlT/OY3v6G6uprBgwezfv16H0e+YMECrFYrs2bNoqGhgZEjR/Lpp5/GpYLQbDYD6os8peoWXC6qd+4EoEdBrv98p4SUbbyiTqm6leY4IX52Inek2ZFE2nc8HKY3ctzDdYIcd8CzjJaWloBPLq2trVRWVno62igJsaOG2tZlKVG31N+zmNZSWwQqVXfd/v283L8/qSYTj72+FP0T/wsjx8EH7cucPihyR54lr8Gg+wK+Rz0PYOV9jEwkh3dl1a1Exwmx20mgNnqJ2OVEbvsWi37i5TC9CXYPj4XkW5IKCDV3p1TU+kykVt2gTjsB6bqrtm0D2ouFvm5ve+hJ2R4Km7KNdV1nR0LpVqrjhOjtJFDD9kRuDSaHfYeqkh3RA6YPiN5heiOHdmVYk8JRc7NyjcShVjuRqttTLDR8OHy5xn1QdJ5iodD5JUFTtvGa6xQJplvJjhMit5NwDdsTRbzsO9yyklgizGDI8bepHItSMPFYA5ho1KgZ1Ksb1Ktdqm5PsVCvC2Fdx/nOD9zf+94a8Np4znWKBNKtdMcJ0sdbKU5TJBb7DucwvZeVyIEcf5vKsiqFosZ0nFrTn2rVDeq0E5Cm27tYqMDl3o/Ss75TQsrWt4dt7FFnIN1qcJwQfryV5jRFIrXvZDtMb7S0Le4tp5599lmqq6sZNGgQy5YtY+zYsQHPLSsrY/z48X7H9+3bF1EHHZPJFP4khXG2R0FKRI12AtJ0n/r+e2zNzaSaTHT/4YD7oMSUrVw7p3jrTvS2YrEQbLyDbUKdbKcpIsVO4l0lGy/k+NtUpnUFQdxy6pVXXuHKK6/ktddeY/Lkyezdu5eePXsGvW7//v2cd955nv937x56f8GOnG1NEpSMWnWDMhaRR4MU3dXenYW+3uA+KDpPcYlKkJRtLDunhELUXZ1RrYjOQVLpON7xbqMnF8HsJJJOP8ninG+S4L3lFMCyZcv45z//yfLly1myZEnQ63Jzc+ncuXPUn6u2pQdw9hevKBE12glI0y1W2hb0uxjKtpyZ72w6BCe3B03ZOjiElb8A8d+vMysri8P6Sv7CB6pxnHBmvNXiNEW87USpEWYwzukmCVK2nApGYWEhra2tDBw4kF/84hcBU7mh0CLPxKFW3XBuRJ49TO23DHG+c2/olG0zSwFn3KNOgH1te/l757U4carGcQIctDSzIsPBRzhV4TRFKk+a+UelkX8cVYfDFKmrg3Xr7PzkJ/F9X+VbWjtStpzqSEFBAa+//jpFRUW0tbXx5z//mQkTJlBWVsa4ceMCXtPW1ubZt06ksbGRrKwsz0LblpYWMjMzaW5uxuVy4XA4cDgc6HQ6XC4Xer3e77u4c4dYEBPqXO9rojlX/LfL5cLpdMak5VzVLV4vanE6nVitVpqbm8nIyKCtrY2UlBR0Oh12u5309HSsViuZmZnU1tb62ElraysGgwFBEHA6naSlpXnO9baprKwsLBYLRqMRp9OJIAikpqbS1tZGRkaG37lmsxmTyYTdbken05GSkoLNZsNkMgU8t6Nuh8OB0WiktbWVjIwMH91ZWVlYrVYMBgMup5Oq9m3Iup06BoB5yOXoLBYM/3kXA9CcPwWam310t9oPYOvyIeggrXUOtadrA+rW6/XY7faAusUxFHWDu5FGtamKv2evxalz0rutDzc6p1LfUu+jWxAEXC4XBoNB0niD+6FNynjr9XrP716q7uMuO3/KcvJetzbs7VP7I52pzDytY7yxE1armdMGGy6XC0EQJOkW7zty6E5NTeWkGf72fQprD6Wz8YccXMKZmoRh3e3cMkBgck8zl3RP9fzuW1riq9tms/n9rZnN5oC6W1tbOX06jU1f6Nm4MYXNm9P47js9kH3uOk+RSLaTuvTSS7n00ks9/x89ejQ//PADv//974M6zyVLlrBo0SKfY7NmzeLZZ5+NUXlicblcnihOTahVN4DF4q5CVVvhkMViQRCEoLobKiqwt29Dll/5LQC2ojGkN1diaNiNoEvBdv4Uvx0THRnLQedE11ZMqmso0BIXvUdTj7A2/a84dU4utPRkcssUUrOUeyur0bl4zdjGB2k2j9Mc3iow25rGeGM2LfYWMCZXozcnLfDRPiNrK4xsPJbi4zAv69bGTX3t3DYkhe6pze0PK8n9e62rg88/N/L11jQ2bDCyd6+/LVxyiY247+kpqIS2tjYhJSVF+Oijj3yOz5kzRxg3bpzk93nyySeF/v37B329tbVVaGpq8vk6depUwHOtVquwd+9ewWq1Sv78ROFwOASHwxHz+1itVuHuu+8WBg8eLKSkpAg33XRT7OJCIOq+7777hIsuukhIT08XcnJyhBtvvFHYt29f2OtffvlloXfv3oLRaBSGDx8ubNiwwed1l8sl/PrXvxYKCgqE9PR0obi4WPj2229DvqfU33NLS4vQ0tIS/odUGOF0f/P228JCEP5veKEg9EQQ+qYJgtUiCNufEoSXEIS/TvC7xi5UCMeEXOGY0E1oE7bHTetB4aCwSPiV8EvhcWGl/U9CY0tj3N473hwX7MKjwinhAuGIkNv+dZNQI5RaGhRnJydaBOHVbYJw9ZuCoP+NILDozFfR64Lw1CZB2HPMrAjdJ08KwurVgvDgg4Iw5DJBQOf/NWiwIMyaJQgffigIJ04IsuhW7uNaB6RsOSWFnTt3+uzl2BGj0YjR6PsYWF9fH7ngJCPEab2k0+nEZDIxZ84cVq9eHZf3DIWou6ioiB//+Mf07NmT+vp6Fi5cyKRJk6isrAw6HyqlGvuZZ55h6dKlrFy5kksuuYQnn3ySiRMnsn///pibw4vp/szM5O/nGgnhdHuKhXI6Qx1n5jtDVNnKMdfZcT/OSaevw4kTBWyf60O4hu311nraaEu6nYTrJduxSra+vpW2tsTbd10dbNgAZWVQVg579vifM3gwFI+DkhIYNw5yc31fr6+XYbzj7o5l5L333hMMBoOwYsUKYe/evcK8efOEzMxM4fDhw4IgCMKjjz4q3HXXXZ7zn3/+eWHNmjXCgQMHhG+//VZ49NFHBUBYvXp1RJ/b2Bj46TZgROJyCYKtJfFfLpePNrvdLtjtdj/Na9euFbKzswWn0ykIgiDs3LlTAIRHHnnEc859990n3H777X7X3n333bJHnsF07969WwCEgwcPBr32iiuuEO6//36fY/379xceffRRQRDcUWd+fr7w1FNPeV5vbW0VsrOzhVdffTXo+0qNPBsbG4PaipIJp/uNceOEhSDsvGaUO/J87leC0FjhjjpfThEES63P+XJEnd4R55+FNwW7YFfceB8T7MLPA0SamwRfu0mmbjHCnPBW4Ajz6U2CUFEf+NpE6ZYSWQ4eIggPPCAIf/mLINTWhn9POXSrJvKE8FtOVVdXc/ToUc/5NpuNRx55hOPHj2MymRg0aBAff/wxU6ZMkU+kwwKvJ2HJwn0tYAj/ZCVuhL1z506KioooLy8nJyeH8vJyzzllZWU89NBDMckZNGiQzzZmHenVqxffffedpPcym8288cYb9OnThwsvvDDgOVKqsSsrK6mpqWHSpEme141GI8XFxWzevJmZM2dK0nMu4dNZqOaQ++CokpCNEU7zHPGMOjtGnEqrqk12w/ZwKH1ZSSSR5fjx7sgywqX6sqAcC5TIrFmzmDVrVsDXVq5c6fP/BQsWsGBB7Ls3iJV4ZwPiRthlZWUUFRV5HOWiRYtobm7GbDZz4MABvw2xI2X9+vUhW2IZDIaw7/HKK6+wYMECzGYz/fv3p7S0lLS0wJP+Uqqxxe+Bzgnl6KWiVjsJpdvTWSg9ne5NtWBsX9+5tn3NZoeUbby7CYVynMke72jb6CVCtxwOM166pTrLkmIobv+K1VnKMeaqc57JoOMcaEhSM9xRYKJJ9V2jF6rNXUlJCWVlZcyfP5+NGzfy5JNPsnr1ajZt2kRjYyN5eXkRtS8MhPcG1JHgrfvHP/4xEydOpLq6mt///vfceuutfPHFFyH31JRSjR1JxXYkRGQnCiKUbk9noQvPR99W4Z7vbKsO2hghnt2EwkWcyRrvWNvoyaW71gwf7XP3kpWj00+0upPhLDsix5hrzlMCZrNZ+mSzTicpfSo3oZoNlJSUsGLFCnbv3o1er2fgwIEUFxdTXl5OQ0MDxcXFMX9+tGlbb93Z2dlkZ2fTr18/Ro0aRZcuXVizZg133HGH33U5OTmkpKT4rfmtra31RJr5+fmAOwL1LhrzPicWzGYzoL6CoVC6PcVCphRoI2TKNp5Rp5RUbaLHO14N2+OpO5zDjGdKVqruSJylWOAjdxr26NE6BgyIr51ozlMCamy7FqrNnTjvuWzZMoqLi9HpdBQXF7NkyRIaGhqYO3duzJ8fbdo2lG5BEPwaWIhIqcbu06cP+fn5lJaWUljo3tnDZrNRXl7O008/HfZnCoca7QRC6/Z0FmqudR8YWQwHA6ds4xV1Sp3jTNR4x3uXk1h1J2M/TAiuu64OysvdX8Gc5aBBvs6yYzVsPKmrs7B9exXbt1ezbZv7+9GjTQjCr+P6OZrzlMDZ1p5PnPdctWoVL7zwAuB2qNOnT8dut/vNd+7duxebzUZ9fT3Nzc3s2rULgGHDhgX9/GjTti6Xi0OHDvHRRx8xadIkunfvzvHjx3n66acxmUw+xV4TJkxg2rRpzJ49G4D58+dz1113MWLECEaPHs3rr7/O0aNHuf/++wF3unbevHksXryYfv360a9fPxYvXkxGRgZ33nlnVHq9Odva8/kUC1kbISsN+ubDLv/tx+IVdUZSHCT3eMu1NVg0ukM5zBE9YPoA+Yt+RN0WS4bbUZa5neW33/qfmyhnKTpK0UmKjjIRaM5TAmqMKMI1WB8/fjw7duzwOMouXbowcOBAqqqqGDBggM+5U6ZM8UnBilGbIMPem3q9noyMDDZu3MiyZctoaGggLy+PcePGsXnzZnK9/gorKiqoq6vz/D9cNTa4i8isViuzZs2ioaGBkSNH8umnn8a8xhPUaScQXLenWCgtje4Gm3u+8/g694vnj/dJ2cYj6oy0qlau8ZZ7azCpupVSJStGlp991oUNG1PYu9f/nEQ4y5Mnze0OMryj7NevK0VFPRgxooCioh5ceml23PXoBDnugGcZtbW1PjdtkdbWViorK+nTp0/IIpZkIKZMpVS1Kgkl6pb6e66tdac2A9mKkgmme8877/DRj3/MBfk53JNWB3N/BRf83b3xdclrMOg+wB11nmA04KI7n0blPKNZjhLv8U7ULiehdEfauEAOpMxZDhwI40vkc5beqVcx/RrMUV5ySTeKigrav3pQWJhPdrbv7yvYPTwWtMhTAmqMKNS6tZdadYM67QSC6/YUC7ms7gNDLoED/inbWKPOaNdxxmu8E701WEfdyY4wpTrLsVfZGTvWxcSJxrg6y46Ocvv2Ko4cid5RBuKc3pIsmVitVtXNY6k1oaBW3eC2E1DfnGcw3Z5iIYfZvX9nVqX7Ba+Ure9cZ+RrqmNpgBDreCdrP02r1cpJi47yfRlJcZhSnKWYhhWXjuTmwqlTpwHo1i36ZR+RRJQdU69SHWUg5LiHa85TAkpKIUolHusWk4FadYM67QQC6/YpFkrDPd/5wxr3i32ne84To850JpFGYUSfG2vnoGjHO1jv2UfI5ioZnaaYkn3nm2w2HUtJWNFPtM6yI5GOd7Cq10CIjrKoqIARI2JzlIGQ429Tc54SUOMWWWqN4NSqG9RpJxBYt6dYKDWF7gYnDBsKJ1/0Sdl6R52dIqywjUfLvUjHO1zDdjkIXCXr/jnlcphSnaV3uzspadhQ4x1pMc+IET0iTr3Gghx/m5rzlICab+gaiUOtdhJIt6ezUHoKep0Tzm91b8fplbKNNuqMV69aqeOd6Egz3DrM6/tYuKmvncLe8akAjceuI1IQxzuSiDLaOcp4I8ffpuY8JaDGdJxa059q1Q3qtBMIrNtTLITNPd+ZutX9QnvKNtqoM55N3sONdyIjzUgaF7S0uIDA2+pJIZGN1L0d5Vdf/cCuXSc4evR0wHOV4igDoaVtk4TValVdJWWoJglKRq264UwBi9psJZBuT7FQGjBkGDR+DTq9J2UbTdQZ791Rgo13oOYGcjhNsUo20k4/kdpJopxlpHOUiU69xoIc93DNeUpAbb1KQb1LPtSqG9RpJ+Cv27tYqEcacHF7A4nzrwZT96iiTjm2FeuoOxFbg8VjWUk8esMOGuReZxltI/VoinkuuyyHwsI8Ro/urWhHGQg5/jY15ymBs609n5JRq244e9rzeYqF9DpyDAJ0ad8jtz1l67uuM3zUKdd+nKLuhow0WdroiYRzmJE2Lug43nI3Uo9XMY/Y3EFtjhPkuYdrzlMCakvDQfwiuNbWVu6//362b9/Ovn37uP766/nrX/8al/cOREfdgiAwZcoUPvnkE9asWcPUqVNDXv/KK6/w7LPPUl1dzaBBg1i2bBljx471eb9Fixbx+uuve9rzvfzyywwaNChm7Wq0E/DXLc535qcK6NPSION7T5VtpOs65dzI+nQnE8tTrXxAVdydZrwdpjetrVl88UUKW7bEP7KMpNdrpKlXtdo3aE0Sksa5HHk6nU5MJhNz5sxh9erV8ZAWko66ly1bJrmI6P3332fevHm88sorXHnllbz22mtMnjyZvXv30rNnTwCeeeYZli5dysqVK7nkkkt48sknmThxIvv374+5v+3ZEnmK850FaUC/88FQ6amyPc1CpM51yuU4xTnNVekt2NtNIx5OU65OP/67jvjbRzS9YRPRmccbtdo3aJFn0lDjE1ewyHPdunXcdddd1NfXo9fr2bVrF4WFhTzyyCM8++yzAMycOZPTp0/z7rvvkpmZyfLlywH44osvaGxsTJju3bt3s3TpUrZu3eqz/2Ywli5dyj333MNPf/pTwO14//nPf7J8+XKWLFmCIAgsW7aMJ554gptvvhmAN998k7y8PN555x1mzpwZk3Y12gn46/YpFurR3pqv7/SI5jrlcJx+c5o6GOlM5ecpXaN2mnJs7yU6y1C7jgwY4OLq8XrJzjLevV6jQa32DVrkmTQsFov0pxZBAKtFXkGBMGW4N+JuJ1jkKe7luXPnToqKiigvLycnJ4fy8nLPOWVlZTz00EMxyYl1M+y2tjbuuOMOXnrpJc8m1qGw2Wxs376dRx991Of4pEmT2Lx5MwCVlZXU1NQwadIkz+tGo5Hi4mI2b94cs/O0WNy/d7U9mXvr9isW6lbjSdmKUWe4uc54O85gbfTubYIr7Cnk5ETmGOK9vZcUZ+kdWQ4adIru3QVycnKCvF/kxTzxaGEXDrXaN0R4D5eI5jwlYDRG0MvRaoEBSXhC29cCGWcqyoJFnuJenmVlZRQVFXkc5aJFi2hubsZsNnPgwAG/PT0jJdbNsB966CHGjBnj2cg6HHV1dTidTvLy8nyO5+XlUVNTA+D5HuicUI5eKhHZiYLw1u0pFtJBjkkPPVxw/ngcptOS9uuMp+MM13u2Wd8MEoc8nnOYse460tyc5vVekc1RJspRBkKt9g3yaNecpwQcDkeyJURMqI4aJSUllJWVMX/+fDZu3MiTTz7J6tWr2bRpE42NjeTl5dG/f/+YPj/azbAFQWDdunX861//Ymd7BBQJHedHBUHwOyblnGhQo52Ar25PsZAB9L0ywNACfadL2jklXo5TasP2cOMdr+294rVFl+goN206xK5dtXzzTZ3iO/N4o1b7Bnm0a85TAhHdWE0Z7igw0ZikpyRKSkpYsWIFu3fvRq/XM3DgQIqLiykvL6ehoYHi4uKY5USbtgX497//TUVFBZ07d/Y5fssttzB27FjKysr8rsnJySElJcUTXYrU1tZ6Ik0x/VtTU+Mzh+p9TiyotTuSt26fYqH8FtCl4LioECu/BIJHnfFwnJHuchJovOMRYcbDWSa6mCcRqNW+QR7tmvOUQEQVqzqdT/o0WYQyFnHec9myZRQXF6PT6SguLmbJkiU0NDQwd+7cmD8/2rStTqfj5z//Offdd5/P8SFDhvD8889zww03BLwuLS2NoqIiSktLmTbtzF6TpaWlntRvnz59yM/Pp7S0lMJC95ydzWajvLycp59+OqKfLxBqXJsKvrp9ioUuBM4fT7PpTcAZNOqs4CBv8+eoHWe0W4OJumOtko3VWdbVWfjnP6UX84jNBsaM6aNYRxkItdo3yKNdc54SaGtri3kZQ6IJtVRFnPdctWoVL7zwAuB2qNOnT8dut/vNd+7duxebzUZ9fT3Nzc3s2rULgGHDhgX9/GjTti6Xi9zcXM4//3y/13r27EmfPn08/58wYQLTpk1j9uzZAMyfP5+77rqLESNGMHr0aF5//XWOHj3K/fffD7gd87x581i8eDH9+vWjX79+LF68mIyMDO68886o9HrT1tYGoDpbEXVnZWaecZ4moAc4+5Zg4Q9A4KgzFscZS8P2WjP8eYeOvx1M44uqyBxmLE0Jopmj7LjNVl1dHUDQgiGlolb7Bnnu4ZrzlIAaq8vCNUkYP348O3bs8DjKLl26MHDgQKqqqhgwYIDPuVOmTPFJwYpRmxw7FUTS3KGiosJzIwK47bbbOHXqFL/5zW+orq5m8ODBrF+/3seRL1iwAKvVyqxZszxNEj799NO4/GGp0U7Aq7PQgQPYzGZ3sVBPIC2F5osOESzqjNZxRtuw3T/CPFOYF8phRtsbVnSUr78e34YDarcTNSKHdp2g1n2UEkhtbS25ASoAWltbqayspE+fPqSnKyv1IqZM1bbThxJ1S/09i+3LAtmKkhF115SWsua//osL0uCem8F1+5VU3/Q94KQ7n/o4z2gcZzQN20MV/QztbueGi9r4yRVZPg4zGmep0yVumy2124nadEPwe3gsaJGnBNS4OFitDdbVqhvUaSdwRne1uA1Z+3ynta+BQFFnpI4z0obtUtdh5hvtgB6LBT76SLqzHDTIwpEjbgf5zjvVPPxwYot51G4nakRrkpAkzuX2fIlGrbpBve3LRN3Vm78AoEc6COfrOX2Re7W/91xnJI4zUKQZrBAoku296upgw79h/T9g8+Y09u3z/2xxzrJweBuZGcepqDjO9u3VzJ8fvJgnUdtsqd1O1KYbtPZ8SUONT1xqjeDUqhvUaSfg1i24XFR/8w0APc4HR+8euExWn6hTquMMFGkGcprh1mGKDvM8pzsNu+z9jpHlmZvh4MEwcqSdgvw6XK4j7Nt3hLVrq3nppciKeRKBmu1ErWiRZ5Iwm82qe9pSawSnVt3gthNQ35O52Wym4fvvsbW2uYuFLoWmvo2A0RN1SnGcUiLNcL1kpw+ECflwdDeUvQ9Tg6RhBwxw0fPCOjIyjtPWdoRvvz3Miv9Tx8bNarYTUJ9ukOcerjlPCZhMpmRLiBi1RnBq1Q3qtBNw6z68dy/g7iyk6w2tFxk8Uae7AUJwxxnOadaa4bUQEeaUXpB/Cv6zBd5+CR4N4Cx79WojP/8UgquS48e/Zd/eGvbt9T8v2S3spKBmO1ErcmiP2Hnu37+fd999l40bN3L48GEsFgvdu3ensLCQa6+9lltuuUXVPRADEWqxv1JRaxG1WnWDOu0E3Lqry/8NQEE6tI1IxWXScx4/C9k5KJTT7GdOZ81/4FcBq2RhsA70+2DnX+C3ARqp5+aaycqq4vTp/dSd3MeRwxaOHPY9p2/fzgwdmsvo0b0U6ygDoWY7UStyaJfsPHfu3MmCBQvYuHEjY8aM4YorrmDq1KmYTCbq6+v59ttveeKJJ3jwwQdZsGAB8+bNO2ucqJqjIY3EoVY70ev1nPz6KwB65IJ1oBEjE/mB7ICOM9ic5k+t2Rzbm86vA6RkL0qH/Dqo2wi7v4LdHTSc16kJl1BJS/MB4Ai1JyzUnjjzeqCqV3Av2s/OzpZpZORBzXaiVuTQLtl5Tp06lZ/97Ge8//77dO3aNeh5W7Zs4fnnn+e5557j8ccfj4vIZKPGno5q1Azq1Q0q1i4I1FYeBqCgL7RelIaVO/0cZy3wIvU+zQ1GOI0MOZjNtq/TufGwr8PMtYP+P1DzLzjUAIe8PtKQegq7vQI4DBzh9Okz2/i5U68XhS3mOX3a5ndMDajVTtSqG5Lc2/b7778nLS0t7HmjR49m9OjR2GzqNOxAqDFdodb0p1p1gzrtBODkvn3Y7E5SdZBdrKfWNJZVbPM4zmJu5ZcdOgL1bjai25LNJ1+ls97rV2aqB+t2YC/UNnh9iFCL21EeBo5gt7udpegoo5mjVOt4a7oTT1LTtlIcJ5zZdFTq+WpAjRPlan1KVKtuUKedADRuLAMgPw2sk9L5OwU4cNCLS/iO63iMWo/TzKwxUvVpNl8f9nJwx4G97i+r6DA7OEuweKVer4zLHKVax1vTnXjk0B5VIrikpIRjx475Hf/qq69CNguPB6+88oqnTVpRUREbN24MeX55eTlFRUWkp6dz0UUX8eqrr0b8meLiYDXhcrk8yz5iobW1lRkzZjBkyBBSU1OZOnVq7OJCIOouKSlBp9P5fN1+++1hrw9nH4IgsHDhQnr06IHJZKKkpCTo1miR0tLSokpbqf7HGgAKusLBARdTQzdcXMQiYRx/ohUbYD9ipOGtXCpfz6PtcDpUAaXAC8AfgU21UP81CB+A8CyXXPIBd9zxA7///QX8+9/TaWz8Ofv3z+add27h4YfHUFLSO+biHrWOt6Y78cihO6qlKueddx6XXXYZr7zyCrfffjsul4vf/OY3LFmyhAcffDDeGj28//77zJs3j1deeYUrr7yS1157jcmTJ7N371569uzpd35lZSVTpkzh3nvvZdWqVXzxxRfMmjWL7t27c8stt0j+XDUuDo7XBLnT6cRkMjFnzhxWr14dl/cMhbfue++9l9/85jee/4d7epRiH8888wxLly5l5cqVXHLJJTz55JNMnDiR/fv3x9wcXo12AlC3113umneJjs2mkRwVevJP3dW4dCnYjhgxl2VjP9LuML/DHWXW1+KOKCu56KJmRo7s3B5VXkFh4Y0JqXpV63hruhOPLNqFKFm+fLmQmZkp3HHHHcLo0aOF888/XygtLY327SRxxRVXCPfff7/Psf79+wuPPvpowPMXLFgg9O/f3+fYzJkzhVGjRkX0uSdOnAh43Gq1Cnv37hWsVmtE75cIbDabYLPZ/I6vXbtWyM7OFpxOpyAIgrBz504BEB555BHPOffdd59w++23+1179913CzfddJNsmgXhjO7i4mJh7ty5EV0bzj5cLpeQn58vPPXUU57XW1tbhezsbOHVV18N+r5Sf88nTpwIaitKxeVwCIv1CAtB+GZJF+G/hVeFfOGQ0PlwjWB40yowUxC4ShDoclKAr4T8go+FqVPXCc8++4Xwr38dEhobk2f7ahxvQdB0JwM5dEfdJOH+++/nyJEjPP3006SmplJWVsaYMWPi59U7YLPZ2L59O48++qjP8UmTJrF58+aA12zZsoVJkyb5HLv22mtZsWIFdrs94M4dbW1tnn3rRBobG8nKyqKlpcXzPTMzk+bmZlwuFw6HA4fDgU6nw+l04mxtxeVyodfrPd8FQUCn03kKYnQ6nd85ga6Rem6qyeRJb4rXuVwunE6nz7lXXnklzc3NbNu2jeHDh/Ovf/2LnJwcysrKPOeWlZUxZ84cnE6nj26Xy4UgCNjt9rC6hw4d6rONWUd69uzJnj17fH5Gb92CIPD222+zatUqcnNzue666/jlL3/JeeedF3BcWltb2b59O4888oiP7muuuYYvvvgCp9PJwYMHqampYfz48Z6fNTU1lbFjx/LFF19wzz33+GgR39/pdOJ0OrFarTQ3N5ORkUFbWxspKSnodDrsdjvp6elYrVYyMzOpra31sZPW1lYMBgOCIOB0OklLS/Oc621TWVlZWCwWjEaj52dITU2lra2NjIwMv3PNZjMmkwm73Y5OpyMlJQWbzYbJZAp4bkZGBlVVjXzxRQOrP9GxJbUrPxnzFFkuSNXBx/fcyd+PXE/z6m7YP7KTdfQQRefXU1IiMGZBZ4YPv5i0tD4ddJ/GYnHFpFuv12O32wPqFsdQHG9wZ0OMRiOtra1kZGT4jHdWVhZWq9Uz3i6XC4PBIGm8wd3ZSopuvV7v+d3HW7do/1J0i/cdOXSnpqZ6bDac7rS0NM/vPt66bTab39+a2WwOqLvj35rRaMRisSR3qYo3DQ0N/PSnP+Xzzz/ntddeo7y8nEmTJvHMM88wa9aseGsEoK6uDqfTSV5ens/xvLw8ampqAl5TU1MT8HyHw0FdXR0FBQV+1yxZsoRFixb5HJs1axbPPvusJJ12i4XfdwmyZb2M/KyxkbTMTM//g815ZmdnM3ToUMrLyxk+fDgbNmxg7ty5/Pa3v6W5uZnm5mYOHDjAuHHjYtKzdu1aHA5HUAcbrP2eqPvOO++kV69eFBQUsGfPHn75y1/yzTff8M9//jPgdaHs48QJ94JB8Xugc44ePRrTzwvuYjlQTmHFyZMWtmw5yo4dFj7/3MX+Y90w9+yFfmweGfNP07foP9z04xV8DuR1gsf/8BhX/WBmWkk91354AWlpeRgMF/g5IaVgsVgQBEEx4y0VTXfiMZvNcd98PCrnOXjwYPr06cPOnTvp06cP9957L++//z6zZs3i448/5uOPP46rSG86VmOKEUIk5wc6LvLYY48xf/58n2MOh4OMjAxPb0Txe0pKCg0NDaSmppKa6h7KZO1D6a0Bzvx8KSkpHkclfh8/fjwbNmzgkUceYdOmTfzud79jzZo1bNmyhcbGRvLy8hgyZIjfZ4hPreLP2PF9vR3ixRdfHNXPIeqeOXOm59jQoUMZMGAAI0aMYPfu3QwffmZ7LPEzRU0Gg8FHhxiNp6SkeMYnLS3NZ1zE6Md7/Lzf3+l0kpKSgslk8uznmen1oCIizquKr4l2EuhccQ6mo00F6r8pzsWGOreuzsJXX7m32dq8+RRffZVCXV0uZPSBgbkwBPQ/dpA19jSmwiouSD3GbbxPyzZ3v9L8i/Op/e35fp8tt+6OBDs30BheeOGFPq+Fen9N99mlO5iGQLozMzM9fXnjSVTO8/777+eJJ57wCYVvu+02rrzySn7yk5/ETZw3OTk5pKSk+EWZtbW1fpGESH5+fsDzU1NT6datW8BrjEajX2ek+vp6yToNGRk8loSKNEMHQxMfEgJRUlLCihUr2L17N3q9noEDB1JcXEx5eTkNDQ0UFxfHrGfQoEEh07a9evUKWOUaTPfw4cMxGAx8//33Ps5TRIp95OfnA+6MhHfWIZQNRYKY7g/0BxxP6urObNy8fXs1X39dz7FjXYDewCWQmQcDgB+5D+k7O8i48jSmwhZ0qXA+x5gifMLYpg0cqHa/Z86462XVLAeJGu94o+lOPG1tbXHXHZXz/OUvfxnw+AUXXEBpaWlMgoKRlpZGUVERpaWlTJs2zXO8tLSUm266KeA1o0ePZt26dT7HPv30U0aMGBFRhBgoIgmGTqfzSZ8mi1DR+Lhx42hubmbZsmUUFxej0+koLi5myZIlNDQ0MHfu3Jg/f/369SEXJgcb/2C6v/vuO+x2e8BUO0izjz59+pCfn09paSmFhYWAey69vLycp59+WtLPFYpI7EQq3o5y2zb396NHbUAv3M6yGHR5kInbYQ5qP6wH/Xlup5kxvAXag/GJnKAv/yRLV8+gDf+hvD0Lmzv1x3HXLjdyjHci0HQnHjm0S37Ho0ePBlwOEozjx49z/vnh00CRMH/+fO666y5GjBjB6NGjef311zl69Cj3338/4E65Hj9+nLfeegtwR8gvvfQS8+fP595772XLli2sWLGCd999N6LPDRXFKZVQmrOzsxk2bBirVq3ihRdeANwOdfr06djtdkpKSnzO37t3Lzabjfr6epqbm9m1axdAyDW9vXr1ilp3RUUF77//PlOmTCEnJ4e9e/fy8MMPU1hYyJVXXuk5d8KECUybNo3Zs2cD4e1Dp9Mxb948Fi9eTL9+/ejXrx+LFy8mIyODO++8Myq9HbXHgugoRSfpdpRNgAm3R+wNlLidJbi3s/Q4TAH07gcP/XkOek88jXVAC8725NAYjPyEU+zi7zhwUEIFrWtasQmQqtfRJUCaXumo8e8SNN3JQA7tkp3n5Zdfzo033si9997LFVdcEfCcpqYmPvjgA1544QVmzpwZ9zWft912G6dOneI3v/kN1dXVDB48mPXr13tu1NXV1T6FH3369GH9+vU89NBDvPzyy/To0YM//OEPEa3xBDyVeGcT48ePZ8eOHR5H2aVLFwYOHEhVVRUDBgzwOXfKlCk+KVgxapPrjyktLY3PP/+cF154gZaWFi688EJ+9KMf8etf/9pnPrOiooK6ujrP/8PZB8CCBQuwWq3MmjWLhoYGRo4cyaeffhrzGk+IzE5OnjS3O8iOjhLOOMsxQK8zzhLcEWZ/yLwCLLkgeAJ1HUP7Osgdf5q9+S20tB8XdznJ5zhv8z4OHAylKxc0baV2u/uc3B65CCrs7KTWv0tNd+KRQ7tOkHgHrK+vZ/HixfzpT3/CYDAwYsQIevToQXp6Og0NDezdu5fvvvuOESNG8Itf/ILJkyfHXWyyMJvNAfPlra2tVFZWejraKAnv0ns1oUTdUn/PYlFCR1sJnHr13rj5TGSZZrwYm63DfHwmFFwN+iFQlQbef7BFBXDdMAf1Q06zLj3wfpodtxWbzJekbl/Jl5OsfFkPw6dez9Wr3lPdXFaw8VY6mu7EE+weHguSI89jx47x9NNP8+STT/KPf/yDDRs2cPjwYaxWKzk5Ofz4xz/m2muvZfDgwXEVqAQsFovqDEZcpqIkJyQFteoGt52cOmXlyJFqTzS5fXsVR440dTjTBPSnc+f+CPSmqenMllrifgqXFELBeDiVD3utUN1hA+lbB8K4QQ7+1vk0bwbZhBrwc5z/j9Gc4md0/7KN6vYCxM5jS1Rp4+LSIE13YlCrbpDnHi7ZeRYWFlJTU0P37t15+OGH2bp1a9CK1bMNNRqLWvfeU5PujhHltm1V/PDD6QBnmigoGEynTpfQ3FxAdY3bnhq9fOrAgTByPBgug7162FwFBwSgfacu0WH+v4GQ3sW9CfX0EE4T/B3n7dxJM/NIabJh2OWiuv3inleNVaWNq1EzaLqTgRzaJTvPzp07c+jQIbp3787hw4fj0nRcLbS0tIRcc6RE1BrBKVW30+li06YjfP11bZDU6xkuuqgHBT0GA72pru7GoUNpVNdAtdcqmoEDYXwJFF4FDfnwj6Pw5hFwVZ85Z0QPmD7A7TAv6gJVuJ3mqjBOEwI7TjiKhQ/JqrBx6j+4i4VSUzFecIEqbVxs9q3pTgxq1Q3y3MMlO89bbrmF4uJiCgoK0Ol0jBgxIugN7tChQwGPqxU1NkRWUwTnjRJ02+1OLBY7Fosds9mO2Wyhuvo099//BUeO+C627tevK0OG9KZTp340NOby/ffnsW9fKocqfd9TdJYlJTDwcthYBx/uheXfg+vAmfM6OkxwO83HJDpNCOw4U0mlnucAJ5nfp7Gv0h3S5l96Ced17hyHUUs8avy7BE13MpBDu2Tn+frrr3PzzTdz8OBB5syZw7333huXCkU1oMancqVGcOFItO6OjtJisWOzdazMc2vq06czY8b0oX//C4HeHK/qypYtqXy0xv99Bw2C4nEwfjyMGwdkwpr/wPLvoOwtcHWYw5w+0P0lOkwIHGmObneaVwVwmhDccTqowMqHpDQ5ST3QSFV7drlg7DjVRhSa7sSiVt2Q5MgT4LrrrgNg+/btzJ0795xxnuGeWpS4/kkJEVw0yKlbmqN0k56eSkaGgYwMAzqdE0Fo4cor/4u169J59z3/8wcPhivH2Bk3zsXEiUa6d4eTZvjoP3DHJ1B2RJrDhOBO82dBIk2RYI4T4DRLARedKnrBD42e+c4eI0eqNqLQdCcWteqGJEee3rzxxhvx1qForFZrwKcWsUuOxWJRXLNkJTp0KcRLd7SOMjPTQFqaAYtFT3MznDoFVuspqqp0PL/MQHvBIYMH+0aW3bvDqVOnOWnR8dFRIx9+Av8+7O8wxaKfjg4T4Hi703w7QqcJoR2nGHUCmA62IRzF4zwLioo8zd7VFlFouhOLWnVD8Ht4LKi331ICSUtLC3g8JSWFzp07U1tbC7iNKlRbvEQirpd0OBxJVhIZ0ei22520tjqwWh1YrXZaWx3Y7YEL2tLS9JhMBo/DNBpTEQQ9FguYzXDypEBbm+i63OWujY21fPV1Z34yI8XHWYrUmuG17fDuN9lsPJYSkcMEd6T5hyidJoR2nHAm6jQ1jUZf+3fqDrYXCxmNdB8wALOCdkqJhGB/l0pH05145NCuOU8JhOpOITYbFx2oUhDnDtWWvg2n2+l0YbM5PV9tbU6czsCOMjVVj9GYSlpaiudLr9fR1ganT0Nrq/srUAtegwGMRkhLg969O/O7J/Pxfi6qNbvnMD/4zjsl6/5zkuIwIXCkGaoQKBDhHKd31HleRR9ohOpG92v5Q4eiT01VbecYTXdiUatukEe75jwlECqVqNPpKCgoIDc3N2Qj9ETT1OReRpGdnR3mTGXhrbuhwcp339Xy3Xcn279qOX68OeB1ffp0ZtCgXAYN6s6gQbkMGJBDp07u3XEaGmDrVvj6a/h6Kxw44H/9Jf3giivg8svdX127uo97b3FWa4aP9rmrZAPNYV7fx8JNfe0U9g495oEizUidJoR3nHAm6jQykdSDX8BRqBJTtu1tNs/1FH+i0XQnnqT2tj2XkbIDi/f+kEpATHsqrW1gMMSGA5s3H2HXrhPs2lUbdB3lJZd0o6iooP2rB4WF+WRnp3u9F2zYAGVlUFYOe/b4v8fgwVBSDMXtX95pWG/COUzvCLOlxYVn+5IAxCPSFJHiOH2izqY74ORN8MOZ+c4eRUVA8vagjRVNd2JRq26QR7vmPCVgtVpVV2kmTu4rUXfH/Si3basK6ij79etKUVEPiooKGDHC31G63w9Wr4by8uDOctAgt7MsKXHPWebmBtcnVsl+uDeyop9gYx5PpwnSHCf4Rp1pFftAAOFYGtXtPQAL2p2nkm0lFJruxKJW3SDPPVxznhJQY1sqpWgOvs2WP/36dWXo0FyGD89n9OheAR2l+z3bHWWZ21l++63/e0XiLCG0wwzUuCAQHcc83k4TpDtOn6iTn8HBe6ERTp2yuYuFTCa6t++eoxRbiRRNd2JRq25Icnu+cxk1NklIxoLm0Nts+SJGlCNG+KZexcKrXC9vJ4ezhGBFP26kFv14I455Y0ZaXOY0OyLVccKZqDOdSaQ1dYaTO+AHHdU29w+ZP2wY+vYNgtW6+F3TnVjUqhsU0CThXEWNaQq5NUeSeg03R+lNVlYWdXXw0Ueh5yy9291JdZZwJsIM5jCDNS6QQnMnE8tTrbxPVVydJkTmOL2jzk78DCrc/6Yujyqbu8GumLIFddo3aLoTjVp1g4KaJJxrnOuRZ0dHGXibLTeROMoz73+mwOezz9PYt8/fLKN1lhD/CLMjYkegP6e3YO+wCXWsThMic5zQIeqk0J2yFYDKVr9iIVBvRKHpTixq1Q1a5Jk01PjEFa3maIp5OqZew39GqGpYt0nG4ixBfocJAdro6WCkM5Wfp3SNi9OEyB2nX9TZdAhObocmPUJdo09nIRE12jdouhONWnWDFnkmDYvForqnLXHj2lC6O+5HKWWOMlTVa/DPCb90RHSWw4tOM3qUnQEDIt8rNlRKVmrRjxSC9Z69twlG2lPIyUmO44QAUWfF0+0vXMIpx3/8ioVAmq0oEU13YlGrbpDnHq45TwkYjcZkS4iYjpojLeYZMaJHRKlXb6Q4y467joiRZXOzDpDeSiseVbJSCdewvVnfDHEylWgcp1/UCXCwfb7zxHmeqNO7WAjUad+g6U40atUN8mjXnKcE1NYftq7OQllZBbt31/Lddw0hHWU0c5T+nyetKUHHRuqBkDLW4dZhxlL0EwipW4PFy06icZzQYV0nhWdStuhh7w9nOgt5pWzjqTvRaLoTi1p1gzzaNecpAaU0ew+E3MU8gT8zfs6yI8HGOtrGBbEQ6dZg8bCTaB2n77rOBe1v1h51GkfCiS1U23WA4FMsFC/dyUDTnVjUqhvk0a45Twkope1eJHOUF1/cmcLCPEaN6hmTo3R/rnzOsiPeYy0W/STSYUL0W4PFaifROk4IMNcJZ1K2TRcjCFuodugBp1/kqRT7jhRNd2JRq26QR7vmPCXQ1taW8I2/oynm8a56tdvdZeU5OTlRfHb8esNGyrEGG+srjaw/Il+VbDBi3Rqsra0NICpbicVxBpzrFFO2Oj1UWjnlAJvD6VcsFKvuZKLpTixq1Q3y3MM15ykBuavLounME67q1WIJvE1XIJLpLKHjspKuuIQzKRY55jA7Eq82etHaSSyOEwLMdcKZlG2PEnjzy6DFQrHoTjaa7sSiVt0gj3bNeUogngtsI+31Gs06SlEzBDaaZDtLCLUOU8fQ7nbuuMwgq8OE+PeejWYReayO06+HrYiYss0ogZp/UeXQAy6/lG20upWApjuxqFU3aE0Skka8Gg4kopgnkGaxN2y8dh2JFimNC37Ux0qfzgIZGfJtfyRHw3aI3E5idZzQMeoc7j7onbKtcWuqNnQCmvyKhaLRrRQ03YlFrbpBa5KQNKQ8tcjV6zUa6upg7Vo7X2w28PXX8WukHg2RVsnW1jbT0iLP0228NqEORiRP5vFwnA4OBY46xZTt+ePhX9sRBKhudm8npUWeyUfTnXi0yDNJdHxqibWYJ56O0q0n0K4j2T7nJMpZQmyNC+R4Qgy05CSeTlNEqvZ4OE6A5kBRJ5xJ2V70/2Dxk+5ioTZbwGKhSHQrDU13YlGrbtAiz6Sxbt0+Dh40yzpHGQlS5iwvvdTBlVfamXydSXZnCeFTslKLfsxmMxCfp9tEOU0RKdrj5TgdHMISKOr0TtkaCqHmONWuFMAZsFhIqm4loulOLGrVDW7tWuSZBG6//e9+x+ROvXoTSW9YMbLMyGgFQM6HRTm29zKZTDHrSrTTFAmnPV6OE8So0+kfdXqnbHe6DaXqvHw4cTxgylaKbqWi6U4satUN8mjXnKcELr64M1dccUFCHCXE1htWpL7e5n9RHIhXhBkMmy163clymiKhtMfTcQaNOuFMyvbi6fDHMgCqne4F4oGKhcLpVjKa7sSiVt0gj3bNeUpg+/YZZGdnhz8xSuTo4BPPjhqJ2N5LJBrdyXaaIsG0V3CQt/lzXBwnhIg6vVO2F02DL3/rLhaqqQMCFwuF0q10NN2JRa26QeswlDTi3Rcx0sgymnWWsWpOpMP0JhLdUhu2J4pA2uPtOENGnd4p29rTUHOcUzoDNoslaLFQMN1qQNOdWNSqG7TetknDbrfHdH0ie8OKRKM5WQ7TGym6I23Ynig6ao+34wQ4zXMEjDoBDn7g/t73VthSBkBV/kVwdH/QYqFAutWCpjuxqFU3yKNdc54SSE9P3hZd0SJVsxxFP7EQSne0DdsThbd2ORxn0G5C0J6y3QG6FHfK9vWHAKhO7wwET9l21K0mNN2JRa26QR7tqnGeDQ0NzJkzh7Vr1wJw44038uKLL9K5c+eg18yYMYM333zT59jIkSP58ssvI/pss9lMZmZm0NeV4Cw7IpaVB9KdyA2kIyWQ7lgbticKUXtNZnXcHScE6SYk4knZlkB6DnxZBkD1aXdzhGDFQt66Q9m4EtF0Jxa16obw9/BoUI3zvPPOOzl27BiffPIJAPfddx933XUX69atC3ndddddxxtvvOH5f1paWsSf7d8kIfm9YcPRUXMy9sOMBm/dcrXRk4usrCwO6yv5Cx/E3XGGjDrBN2V7pAJqjiMYDFRXVAKhI0+1Ln7XdCcWteqGc7hJwr59+/jkk0/48ssvGTlyJAB//OMfGT16NPv37+fSSy8Neq3RaCQ/Pz+mzz9yxMy+fRmKdpYdaWlpoc6qY2NdhuIdpjctLS3U6AXeyWhVjdMU2de2l793XosTZ1wdJ4SJOjumbP/6NwBO9RuKrWJbyGIhUG/bNU13YlGrbjiH2/Nt2bKF7Oxsj+MEGDVqFNnZ2WzevDmk8ywrKyM3N5fOnTtTXFzM7373O3JDtNtpa2vz7FsnMnCQvyccONDFmDE2xl7l5MornXTp4sBoNLanB7KorW0hKyuLlhb3d6vVisFgwOVyIQgCBoMBq9VKZmam5xzxu8ViwWg04nA40Ol0pKSk0NbWRkZGht+5ZrMZk8mE3W5Hr9dzyqpnzX4days6s+m4wcdhDu1u55b+Aj/qbaFvNz2CIOB0OjGbjVgsloBarFYraWlpOJ1OWXTbbDZSUlLQ6XQcdbbxx04OVqfbseP+HYxyGrjvNJSkZdHaaua0webRbTRGpru1tTWgFovFQnp6Ona73aPbZrNhMpkC6s7IyKCtrc2j2263U5NRzd+z1+LUOend1ocbnVOpb6knMzOT1tZWDAaDR3daWlrYMRR1p6amYrXvx97lQ9BBWuscak/X+oyh/tu3yAAceWNpsujJ/uIzUoEfsgsAyL3sMk41NPjpdjjcNiuOS21tbUCbFQQBl8sl6XfvrVuKzep0OvR6PXa7PeB4t7S0kJmZ6dENeH738dYNRPS3Jv7u461b7nuEVN2pqak+f2uhdCfqHmG320lPT8dsNgfU3fFvTbxH6PX64A4mSlThPGtqagI6vNzcXGpqaoJeN3nyZKZPn06vXr2orKzkl7/8JVdffTXbt2/HaDQGvGbJkiUsWrTI96BOYMAAF6NHtXL11SkMG3aa3r0zOvxhRP/zxcpJC/x1fxp/O2hk47EUn/0wC/Oc/Ki3lduHpNA9tbn9D8MFxN+YoqVa5+L19DY+MNiw6wB0jHSmMvO0jvHGbFrsLRB5tj1hHE09yrr0v+LUObnQ0pPJLVNIzYrfn5YzYznoXOjaikl1DQVafF5PO/JXABy9p4EgoP96IwBV7c0R8goLQ76/xWJBEATVdZDRdCcWteoG95xnTk5OXN9TJwiCEP40eVi4cKG/o+rA1q1b+fTTT3nzzTfZv3+/z2v9+vXjnnvu4dFHH5X0edXV1fTq1Yv33nuPm2++OeA5gSLP6monl16qoNwm4Yt+brrYxtRLHAw+X7kplkBzmiOdqcy1ZTDB1DmZ0iTj3TnoYkdfprbdTHZm/BpqOKjgBKMBF935NHDKdtXF7pTtT6rhRBMU94O0NFbmX8GRTZu46Y03GDZjRtDPUGshiKY7sahVN5yFBUOzZ8/m9ttvD3lO7969+eabbzhx4oTfaydPniQvL0/y5xUUFNCrVy++//77oOcYjUa/qNRuPyX5M+REXIcpZQ7z1Knm9leU5zxDbQ3Wv9EMOEEFD7cdW+5NbLoWBw6I499oyLlO8K2yNXWHLe75TmHoFVT/cxcAPUaMCPkZra3uPshquylquhOLWnWDW/tZ5TxzcnIkhdKjR4+mqamJr7/+miuuuAKAr776iqamJsaMGSP5806dOsUPP/xAQUFBRDoNBvk2Zg5HtI0Lkqk5GFLa6J02qKN/ZqBetRaDJa6f4VthuyDwSd5VtuBZonLq4iHYWjaRajKR079/yM9Roq1IQdOdWNSqG+TRroo5zwEDBnDddddx77338tprrwHupSrXX3+9T7FQ//79WbJkCdOmTaOlpYWFCxdyyy23UFBQwOHDh3n88cfJyclh2rRpEX1+ojPb4RoXSKmSTWI23o9Ies8qSXcwgjV5j7d2MepMZxJpBJi3bKpor7Jt72UrCB7nWdXeHCFUZyERNYx5IDTdiUWtukEe7apwngBvv/02c+bMYdKkSYC7ScJLL73kc87+/ftpanLvtZmSksKePXt46623aGxspKCggPHjx/P+++/TqVOniD7bmYBqoHivw0yE5nBE07BdCbpDEWp3lHhq9446OwVa1wlndlA5/2p3yrbye6g5DmlpVDe40/ah1neKKH3Mg6HpTixq1Q3yaFeN8+zatSurVq0KeY7304XJZOKf//xnXD47WGVurMi5vZdcmqUQrLnBwxIatidTdzjCbSsWT+1ho044M9/Zd7r7e3vUydArqN79DRC6s5CIksc8FJruxKJW3SCPdtU4z2QiriWMB4lqvm6xuOffEjm5H4+OQMnQLQUpvWrjpV1S1OlJ2bY3RgBPM3hhZAnVv1kGhC8WiqfuRKPpTixq1Q3xvYeLaM5TArEOejzmMCNFbU5TRIl/mFKbvMdLu6So05OyHe9O2XrNd546/2JsLS2SioXiqTvRaLoTi1p1gzzaNecpgWhaOyW7l2wiWmmFWnISbRs9pbUAi2R3lHholxR1gn/K9vBBOFEFaWlUtbkAacVC8dKdDDTdiUWtuuEcbs+XbKQ2FVbSbiVyNnGWs2G7kppPR7qtWDy0+67rDBJ1BkrZivOdw0ZSvedbQFqxEChrzCNB051Y1KobzuHG8Mkm1FOLnEU/sSDHU2IitgZTytNtNPtxxqpd0rpO8E/Zgme+k1ElVK8tB6QVC4FyxjxSNN2JRa26QYs8k0bHpxalOkxv4vmklcitwZTwdBvtRtaxapc01wn+KVuv+U7hinFUL3wekFYsBMoY82jQdCcWteoGLfJMGlarFbOQoYr9MEWsVvcmyLE8bSVjP8146I6FaB0nxKZd8lxnoJSt13znqU7dIioWilV3MtF0Jxa16ga3di3yTAL/b202G44p32F6E82m3yLJ3IQ6Ft2xEovjhNi0S5rrhMApW6/5zqrv9gLSi4UguWMeC5ruxKJW3SCPds15SqDsB/cwKd1hehNNRw05qmcjJVldTNwNEKJ3nBC9dt+5zhBRJ/inbMF3vnP7dkB6sRCot3OMpjuxqFU3nOMdhpLJwjEW7irKULzD9CaSXo7RtNGTi2T0zwzXOUgq0WoPu3OKSKCUrdd8J6NKqH7cvcWf1GKhWHQnG013YlGrbjjHe9smk4dHuVDbXLmUXQSSmZ4NRqJ3boiX44TotDs4hJW/ABKizkApW6/5TmHYFVTv2AFILxaKVrcS0HQnFrXqhnN4V5Vk09raqrpKM3HvvUC6leg0RULpjjfxdJwQnfZmlgLO8FEnBE7Zes13nvrhWMTFQtHqVgKa7sSiVt0gzz1cc54SUGN1WSDNSnaaIoka63g7Tohcu4NDWKTOdTYd8k/Zgs98Z1X7fGckxUKgTvsGTXeiUatukEe75jwlIMcCW7nxXtCsBqcpkoiF2LFW1QYjUu1RRZ3eKduO852r/w5EViwUjW6loOlOLGrVDVqThKShxjRFVlYW1Tonz1OviEIgqcg91nI5TohMe0RRJ8DBD9zfvVO2XvOdDB8VVbEQqNO+QdOdaNSqG7QmCUlDbZFnFQ6epoHV6U7s7cfi3UZPLuR8upXTcUJk2iOKOoOlbMWos3AUgjE9qmKhSHUrCU13YlGrbtAiz6Shlicun/Rsu52oxWmKyDXWcjtOkK494qjTk7ItOZOyBZ/5zlMHDkRVLATqse+OaLoTi1p1gxZ5Jg2LxaLop61AzQ1G2PU8YDEwJTsvqdoiRdxwN57jnQjHCdK1n+Y5JEedcGaJSt9bzxzrMN8ZbbFQJLqVhqY7sahVN8hzD9ecpwTS05UZtYUqBBra5oCUpMqLiniPdaIcJ0jTHlE3IWhP2W73T9l2nO/8yxNA5MVCUnUrEU13YlGrbpBHu+Y8JWC328OflECktNFrsDckT2AMxHOs49FyLxKkaJfcTUgkWMr2S/e2YxSOgnSTpy1fpMVCoDz7loqmO7GoVTfIo11znhLQ6XTJlgBEtk5TKZojJV665VjHGY5w2iOOOuFMyvbi6b7HvVK2gstF9c6dQHSR57luK4lG05145NCuOU8JpKQkN/8ZzTrNZGuOlnjoTobjhPDaI446vVO2F9985niH+c5T33+PrbmZVJOJ7gMGxF23UtF0Jxa16gZ5tGvOUwI2my38STIQS3ODZGmOlVh1J8txQmjtUUWdwVK2Ryqg5viZ+c6P1gDRFQuF061kNN2JRa26QR7tmvOUgMlkSujnxWNrsERrjhex6E6m44TQ2iOOOiFwlS2cWaLSPt9ZtW0bEF3KFs5NW0kmmu7EI4d2zXlKIFFNEuK5NZhaFzRHqzvZjhOCa48q6gxWZQs+KVsgpmKhULqVjqY7sahVN2hNEpKG3IuD5dhPU60LmqPRrQTHCcG1RxV1BkvZdpjvjLVYKJRupaPpTixq1Q1ak4SkIVfkKecm1Gp9SoxUt1IcJwTW7ht1LpD+ZsFSth3mO2MtFgqmWw1ouhOLWnWDFnkmjXg/tQRymqPbneZVcWqjp9anxEh0K8lxQmDtYtSZziTSKJT2RqFSth3mO6tj6CwUSrca0HQnFrXqBi3yTBpmszkuTy3BnKYcvWfNZjOgvqdEqbqV5jjBX7t31NlJ6lwnBE/Zgt98p9iWL9qULZz9tqI0NN2JJ173cG805ymBWAc9EZFmR9Ro4CBNtxIdJ/hrjyrqhOApW+/5zpHFAFS3V9pGWywEZ7etKBFNd+LRNsNOEm1tbWRmZkZ8XSIjzY60tbUBRKU7mYTTrVTHCb7ao446Q6Vsvec7i0bHpVioo241oelOLGrVDdHfw0OhjLuOwom0O4WchUBSUWs3kFC6lew4wVd71FFnqJRth/nOU/v3x1ws1FG3mtB0Jxa16gatw1DSkNoXMR7NDeKFWvtQBtOtdMcJZ7RHHXUCHPzA/b1jyhaCru+MpVgIzj5bUTqa7sSj9bZNEuE68sfSRk8u1LoDQiDdanCccEa777rOCKLOpkNwckfglG2H9Z0Qn2Ihb91qQ9OdWNSqG7RdVZJGsL3glOg0RdS6915H3WpxnODW7tRV0hzNuk4InbLtsL4T4lMsBGePragFTXfikUO7Pu7vKBO/+93vGDNmDBkZGXTu3FnSNYIgsHDhQnr06IHJZKKkpITvvvsu4s8WS7RFjuPgUeoZRRVvtDvOMRj5iFzWkJd0xwluzR11qwFv3WpynODW3qJ7nqjmOiF0yrbDfGe8ioXg7LAVNaHpTjxy6FaN87TZbEyfPp3//d//lXzNM888w9KlS3nppZfYunUr+fn5TJw4kebm5og+W1xgW6UCpymSlZWlykXNom61OU4AU6eTCOnrgCjmOkOlbMEvZRuPzkIiarcVtaHpTjzndJOERYsWAbBy5UpJ5wuCwLJly3jiiSe4+Wb3XohvvvkmeXl5vPPOO8ycOVPyZx+0NPNuRmtSq2cjRa2ttFpaWvjBcJSPM9apynECNLMUdFHMdULolG2A+c54FQuBum0FNN2JQq26QWvPFxGVlZXU1NQwadIkzzGj0UhxcTGbN28O6jzb2to865lEpnRtxY772EhnKjNP6yhJy6KtzUJTivu40+nEaDRiNpvJysqipaXF57vVasVgMOByuRAEAYPBgNVqJTMz0+9ci8WC0WjE4XCg0+lISUmhra2NjIwMv3PNZjMmkwm73Y5er0en03n+bTabsVgsPtdkZmbS1tZGamoqgiB4dFssloBarFYraWlpOJ1OWXTbbDZSUlI8uo8bj/H3Tmtx4qR3Wx9udE6lvqWezMxMWltbMRgMUetubW0NqMVisZCeno7dbvfottlsmEymgLozMjJoa2vz0W0wVeMyrUMHOOp/iiXd4hnvjrrT0tL8xtCw7x0MQHP+FGhu9uhOTU3FfnAfXWuOIxjSsPa/jJbaWo5++SUAOZddRkNDQ1S6HQ4HRqPRMy61tbUBbVYQBFwul6TfvbduKTar0+nQ6/XY7faAur1tVlxuIP7u460biOpvLd66E3WPCKe74z0ilO5E3iPS09MD3mdD3SP0+vgnWVWTto2UmpoaAPLy8nyO5+XleV4LxJIlS8jOzvb5sut1jHSm8qcGA++1deZyu/LXO4mOU00cTT3K2k5/xal3crGzL5Obpqgi4gRoNbyITufCZbkKvWNIRNfqmisxNH6DoEvBdv4Uv9cN274AwD64CNLd+xLWtM935g0bFptwwGKxqHIuS9OdWNSqG+SZ89QJgiDE/V0lsnDhQk86Nhhbt25lxIgRnv+vXLmSefPm0djYGPK6zZs3c+WVV1JVVUVBQYHn+L333ssPP/zAJ598EvC6QJHnZlq57rzcMD+NshCNRS3dQLznOC929OXHqXepxnE6OMQJRgNOsqxryTaNiewNdjwNWx6FCybATZ/5vz73v+Cvb8PcX8H8RQguF0917oytuZn7v/mGvCGROeuOqM1WRDTdiUWtusGt/azqMDR79mxuv/32kOf07t07qvfOz88H3BGot/Osra31i0a9MRqNGI1Gn2OXn1Lf+qbW1lZAHYZewUHe5s84cNDHdhHXNU8htZs6HCe0z3XiRG8rwWG5FCLdtD5UlW2A+c54FguBumzFG013YlGrbnBrP6ucZ05ODjk5ObK8d58+fcjPz6e0tJTCQnfxhs1mo7y8nKeffjqi9zIYDHJIlBW1aPZ2nJdwKVNaryfVoB7H6eAQlvZ1nem2uaREOu5NFe1VtvrAVbaB1nfGsVgI1GMrHdF0Jxa16gZ5tKtmzvPo0aPs2rWLo0eP4nQ62bVrF7t27fJUgAH079+fNWvWAO52TPPmzWPx4sWsWbOGb7/9lhkzZpCRkcGdd94Z0WcnMbMdNYIgKF53R8d5O3eSIqQoXrc3YtRpZCJ652WRaxd3UDn/av8qW4At/3Z/b1/fCVDV3hwh1vWdImqwlUBouhOLWnWDPPdw1Tzi/+pXv+LNN9/0/F+MJv/9739TUlICwP79+2lqavKcs2DBAqxWK7NmzaKhoYGRI0fy6aef0qlTp4g+W6zEUxNK1xzIcaaSqnjd3nhHnefxM1qi0S4uUek7PfDrYnOE9i3I4EzkGWtnIRE1jbk3mu7EolbdII/2pBYMqQWxHFpNiBG5EnUHc5ygbN0daWA2Ft7DyERyeDdy7U0VsKqvuzHCT6oDr+8ceQGcqIJ3/wVjxse9WAjUNebeaLoTi1p1gzz3cNWkbZOJ1WpNtoSIsVqtitQdynGCcnV3pGPUCVFo96RsxwdO2R4+6HacXvOd8S4WAvWMeUc03YlFrbpBnnu4atK2yUSN1WVK1BzOcYIydQfiNM8hznWmMRyIQnu4lK1YZes13xnvYiFQz5h3RNOdWNSqG+TRrkWeEvAuSlILLS0titItxXGC8nQHwnu/zvO8ethGpN1TZRukly2cme9sX6IC8S8WAnWMeSA03YlFrbpBnnu4FnlKQI05fiVpdjdACO84QVm6g+G7X+dwz/GItIdL2QZY3wnxLxYCdYx5IDTdiUWtukEe7VrkKQE1Pm0p5Skx0t1RlKI7GMGiTohQe7iUbYD5znhuQ+aN0sc8GJruxKJW3aBFnklDjU9cStAczbZiStAdimBRJ0RYZRsuZRtgvlOOYiFQ/pgHQ9OdWNSqG7TIM2morcE6uDUnU3e0+3EmW3coQkWdEIH2cClbCDnfGc9iIVD2mIdC051Y1Kob5LmHa5GnBDr2ulUDydQcy0bWSh7rUFEnRKA9XMo2zHxnPFO2oOwxD4WmO7GoVTfIo11znhJQY2eNZGmOxXGCcsc6XNQJErVLSdkGmO8EeYqFQLljHg5Nd2JRq26QR7vmPCWgxiZMydAcq+ME5Y51uKgTJGqXkrIVo85hIz3znXIVC4Fyxzwcmu7EolbdcI73tk0mqXGcX0oUidYsdR1nOJQ41lKiTpCoPVzKFgLOd8pVLATKHHMpaLoTi1p1gzzatYIhCXTcHFsNBNrUWy7i5TghsbqlIiXqBAnapaRsg8x3ylUsBMoccylouhOLWnWDPPdw9T5KJJCMjIxkS4iYRGmOp+ME5Y211KgTJGiXkrINM98Z75QtKG/MpaLpTixq1Q3yaNciTwmocWFwIhY0x9txgvIWYjfzPFKiTpCgXUrKVow6h14BpjN/8HIVC4Hyxlwqmu7EolbdoDVJSBpqXBwst2Y5HCcoa6wD7ZwSipDamw6FT9nCmfnO0eM9h+QsFgJljXkkaLoTi1p1g9YkIWmo8WlLzqdEuRwnKOvptpmldNw5JRQhtYtR5/klwVO2QeY75SwWAmWNeSRouhOLWnWDFnkmDTU+ccmlWU7HCcoZ60ijTgij/eAH7u99bw1+TpD5TjmLhUA5Yx4pmu7EolbdoEWeScNsNidbQsSYzea465bbcYI8uqPhTNR5jaSoE0Jol5qy9V7fGWC+U46ULShnzCNF051Y1Kob5LmHa5GnBEwmU7IlREy8NUeyrVgsKGGsfaPOBZKvC6pdSsoWAq7vBHmLhfj/7Z17cFT1vcA/m2Szu3kQWiMkqAXklc5QK6JCHJWHVwSRQXuHa6uXgRll1Kod+rKMTgvO1OcoMlOr1rkOWGtb7yjp1eIDekuglmhBg6JcgxBeEiMQIWSzSTaP3/0j7rpJ9nHO5pzfOSf5fmYyye6es/vJN7+c7/n+fr/zO7gj5tkg3nrxqjfY4y7J0wCdnZ1OK5jGSmcrVg4yihtibXasM0ZK99glKum6bFOMd9o9WQjcEfNsEG+9eNUb7HGX5GkAn8/ntIJprHLWmTjB+VhnM9YZI6l7cz2ceC9zl22K8U67JwuB8zHPFvHWi1e9wR53SZ4GyM3NdVrBNFY4606c4Hyss606IYW70S7bFOOddk8WAudjni3irReveoM97pI8DRCNRp1WMM1gnZ1InOBsrAdTdUIKdyNdtpBxvNOuLlvwZvsG8daNV73BHndJngbw4kD5YJydSpzgbKzP8DjZVp2QxN1ol22K8U6wf7IQeLN9g3jrxqveYI+7XKpiAC9eGJztBc1OJk5w7kJsM2vYpmKAu9Eu2xTjnaqnh8/ffx+AMRdfnJWTEbx68bt468Wr3iCLJDiGFy8OzsbZ6cQJzsXa6J1T0jHA3WiXbYrxzqZ9+4iGw+SFQpRWVGTlZAQvtm8Qb9141RtkkQTH8OLZltmzRDckTnDm7NaKqhP6uRvtsoWU450NX3XZ2jlZCLxbUYi3XrzqDVJ5OoYXz7jMOLslcYIzsbai6oR+7ka7bA2Md9o5WQi82b5BvHXjVW+QytMxvLgkldGltNyUOEH/EmBWVZ3Qz91ol23ieOf0yj4v6ZgsBN5ddk289eJVb5Dl+RzDizeBNeLstsQJ+mNtVdUJCe5mumxjVee0mRD8ekagrslC4M32DeKtG696g9wM2zE6OjqcVjBNR0dHWm83Jk7I7G0lVladkOButMsWUo536posBHpjbiXirReveoM9x3Dnj5YewIsra6RzdmviBL2xtrLqhAR3I7cfg7TjnbomC4E32zeIt2686g2ywpBjeHFNx1TObk6coC/WVled0Ovuazlo7PZjkPL6TtA3WQi82b5BvHXjVW+QtW0do6ury2kF0yRzdnviBH2xjlWdQeZZUnVCr3vw4MbeB+fMydxlm2K8ExImC9k83gnebN8g3rrxqjfY4+6uI6dLCQQCTiuYpr+zFxIn6Il1YtVZbFHVCb3ugc9e7X0wcUnmHVKMd/aZLKSh8vRi+wbx1o1XvcEed89MGHrggQe47LLLKCgoYOTIkYb2Wb58eW9XWsLXzJkzM+/YDy9Oz06cVu6VxAl6psP3rTqnWfa+bV98TG7TbmNdtmnGO3VOFgLvXoIg3nrxqjcM80tVotEoS5YsobKykueee87wfvPnz2f9+vXxx/n5+aY/24sXB8ecvZQ4wf5Y21V1Aow4/lbvD0a6bNOMd+qcLATebN8g3rrxqjfY4+7eo2g/7r//fgA2bNhgar9AIEBZWdmgPjscDnvuGqdwOMxR/xE2FbzmmcQJXy+jZVe87ao6AXwHXu79wUiXrYHxTh2ThcD+mNuFeOvFq95gzzHcM9222VJdXc2oUaOYPHkyK1as4Pjx46bfw4tnXCdHnGDTSG8lTuiNtV3xtrPqpLke/+kPUUa6bAHe2db7vV+XLeidLAT2xtxOxFsvXvWGYV55ZsOCBQtYsmQJY8eO5eDBg/zyl79k7ty5vPfeeykHkJNdCHzw4EEmTZpEOBymqKiIcDhMYWEhHR0d8euHuru7CQQCtLa2xrdJ/N7W1obf76enpwelFH6/n7a2NgoLCwdsG4lECAQCdHV14fP5yM3NpaOjg4KCggHbtra2EgqF6OzsJCcnB5/PxwF1gFeLq+j2dTOheyJXNf0b0aIoX4a/jHvn5eWhlIp7RyKRpC5tbW3k5+fT3d1ti3c0GiU3Nxefz0dnZyfhcJhIJMLYsWMHxLu9vR2/35+1d0vegxDswdcxi67uKZwOH497B4NBOjs7497RaJRQKJTUu6CgIP63j3kXf/oi+UD7WZW0tCiKVCSld77fT2jH38kFTlV8l0Ak8vX7h8M0fDVZqGjiRFpaWgz97bPx7urqIhAIcPToUUKhEKFQKGmbVUrR09Nj6G8fi3deXp5h75ycHDo7O5N6p/tfs9obMP2/Zoe3jmOEEe/+x4h03jqPEcFgMOlxNt0xInZMsRJHK881a9YMmNDT/2vXrl1Zv/+NN97IwoULmTp1KosWLeKNN95g3759bNq0KeU+Dz30ECUlJX2+EsdM3c7h3EO8OqKK7pxuzot8ixs6/p1cD50jFRYW2tIt1O07SE/gNQByWu+0/P1zD/VeotI1LnPV6TtST+7xz1H+fDqn9u2aPX3gAJ1fTRb6xuTJlnsmo6CggMLCQi2fZSXirRevegO2ePuUUsrydzXIyZMnOXnyZNptxo0bRzAYjD/esGEDK1eu5PTp01l95qRJk7j11lv5xS9+kfT1ZJVnOBxmzJgxWX2eThInB42Pns+1Ldcx+qzRTmuZoqmpCYCzzjrL0vf9kjtp4yWCzOMs/mjpe9NcD3+YgPLlcGrxXr55zpT02//pv2DVCphxJfz3tj4vffjii1T9539ybmUlt+zYYa1nCuyKud2It1686g297lZ7O1qSlJaWUlpaqu3zmpqaOHr0KOXl5Sm3CQQCnryeqf+s2mvbryPP752KM4bf77f8PW0d64T4Wrbdo68krzh124qT4hIV0D9ZCOyJuQ7EWy9e9QZ73D0zYejIkSPs3r2bI0eO0N3dze7du9m9e3efm5xWVFRQVVUF9FaLP/vZz6ipqeHQoUNUV1ezaNEiSktLueEGAxM6EnCwODdEsstRclWu672ToZSy3LvvGrbWzrAF4mvZRsden9k98frOGbMGvKx7slCvkvUx14F468Wr3mDPMdwzpcmvfvUrnn/++fjjadN6D4Jbt25l9uzZANTV1dHc3Az0Dvzv2bOH3//+95w+fZry8nLmzJnDSy+9RHFxsanP7unpseaXsIFU13G62TkdVnvbsYZtH5rr42vZRs+5FpXJ//ABaDyW9P6dulcWiiFtRS/irR873D2TPDds2JDxGs/Es4tQKMRbb71lyWe7tbsi3QIIbnXOhNXeVt85ZQDx24/NMdZlG1uSL8n1nbpXFoohbUUv4q2fYd1t6yRtbW1OKwwg08pBbW1trvTOhJXeXdTbW3VCwu3HlhhzTzPeqXtloRjSVvQi3vqxw9szlaeTuG16tpEl99zmbBQrvVvsrjoTumw5/wYKVQb3NOvZgjOThUDaim7EWz92uEvlaYDESUlOY3St2nA47Cpvo1jl3UU9EburzoQuW0JnZ3ZPHO+8aOANCuKThTQnz+HeVnQj3vqxw1sqTwO4ZUkqM4u8u8XZLFZ591ad3fZVnQD7v0qeX61lm9E9zXin6unh89paQO9MW5C2ohvx1o8d7lJ5GsANZ1tm747i1bNEK7y1VJ3N9XDivT63H8vonqbLtunTT4m2tGifLATDu604gXjrRypPh3D6jOsA+3mRF0wt8u60c7ZY4a2l6uzXZQsZ3DOMdzZ8tQyl7slCMLzbihOIt36k8nSISCTi2GdnkziB+GLIXmOw3lqqThjQZQsZ3A2Od+qeLATDt604hXjrxw5vqTwN4NRyfdkmTnDOebAM1vsMj2N71ZmkyxYyuKcZ7wTnJgvB8G0rTiHe+rHDXZKnAWK3K9LJYBInOONsBYPxtn01oRhJumwhg3uaLtvEyUJOVJ7Dsa04iXjrxw53SZ4G0L2e42ATJ7h/Pd5UDMbb9tWEYiTpsoU07hnGOxMnC5397W9b52mQ4dhWnES89TOs17Z1kjyNEzisSJyg19lKsvXWVnWm6LKFNO4GxzudmCwEw6+tOI1468cOd5kwZID+9/e0C6sSJyS/L6kXyNZbW9WZossW0rjXbO39fuGMpOOdsZm2TnTZwvBrK04j3vqxw9u7pxIaKSgosP0zrEycoMfZDrLx1lZ1QsouW0jjHpssVDkn6ctOThaC4dVW3IB468cOd6k8DWD3hcG9CyBYlzjBuxc0Z+OtrepM02ULKdwzjHc6PVkIhldbcQPirR9ZJMEh7Lw42OzKQUbx6gXNZr21Vp3xLtvZA7psIYX7of3wRUPK8U6nJwvB8GkrbkG89SOLJDiEXWdbdiVO8O5ZollvbVUnJHTZ/kfSl5O6x6rODNd3OjVZCIZPW3EL4q0fqTwdwo6zFjsTJ3j3LNGMd9+q8x67lHrJ0GULKdxj451JumzB+clCMDzaipsQb/1I5ekQra2tlr6f3YkTep2t9taBGe9Y1RlkHvlMs1csQ5ctJHHPMN4Jzk8WguHRVtyEeOvHDm+pPA0QCg3sbssWHYkTrHXWiVHvxKqz2O6xToD9/937PUWXLSRxzzDe6YbJQjD024rbEG/92OEuydMAnZ2dlryPrsQJ1jnrxqi31qqzuR5OvJ+2yxaSuGcY73TDZCEY+m3FbYi3fuxwl+RpAJ/PN+j3sPo6zkxY4ewERry1V50GumwhiXuG8U43TBaCod1W3Ih468cOd0meBsjJGdzQsO7ECYN3dgoj3lqrTjDUZQv93A2Md7phshAM7bbiRsRbP3a4S/I0wGBKficSJ3i3iyWTt/aq02CXLfRzzzDeCe6YLARDt624FfHWj3TbOkS2g81OJU7w7uB+Ju++13VqqDoNdtlCP/cM451umSwEQ7etuBXx1o8d7t6twzWSzQW2TiZO8O4Fzem8tV7XGcNgly30c88w3umWyUIwNNuKmxFv/cgiCQ5h9gJbpxMnePeC5nTe2sc6TXTZQoK7ies7nZ4sBEOzrbgZ8daPHe6SPA0QDocNr8rvhsQJX59pee1OCKm8tY91gqkuW0hw/+JYxvFOt0wWgqHXVtyOeOvHzDHcKJI8DWD0rMUtiRO8e5aYylv7WCeY6rKFBPf//Z/e7ynu3wnumSwEQ6+tuB3x1o9Ung5h5KzFjtuKDQavniUm89Z655QY8S7bHENdtpDgnmG8002ThWBotRUvIN76kcrTIQoLC9O+rnPlIKNkcnYryby13jklRrzLdo6hLlv4yt3AeKebJgvB0GorXkC89WOHu8y2NUBHR0fK19yYOKHXOZ23W+nv3UU9bbwMaKw6wXSXLfS6d376f4av73TDZCEYOm3FK4i3fuzwdv4/1wPk5uYmfd6tiRNSO7ud/t4trAW69VadJmfZxsjNzcX/fk3vgwtnQCh5N5GbJgvB0GkrXkG89WOHu1SeWeLmxDlU6KKeiO6xTjA9yzaRvF1v9/6QossW3DVZSBCE7JCjvQG6u7v7PPZC4uzv7BUSvR2pOiGrLluA7q4u8nb+o/eBRyYLwdBoK15CvPVjh7u7jvguJRAIxH/2QuKEvs5eIubtWNWZZZctQLDxM3JONKYd73TbZCHwflvxGuKtHzvcPdFte+jQIW655RbGjx9PKBRiwoQJrF69mmg0mnY/pRRr1qxhzJgxhEIhZs+ezccff2z682N3IfdK4gTv3vU95u1Y1TmILtuut//W+0Oa8U63TRYC77cVryHe+rHD2x3/vRn45JNP6Onp4Xe/+x0TJ07ko48+YsWKFbS2tvLYY4+l3O/RRx9l7dq1bNiwgcmTJ/PrX/+aq6++mrq6OoqLiw1/flFRkacSJ3j3guaioiK6fYc440TVCVl32QIUfPiv3h/SjHe6bbIQeLuteBHx1s+wXSRh/vz5zJ8/P/74/PPPp66ujqeffjpl8lRKsW7dOu677z6+973vAfD8888zevRo/vjHP3LbbbcZ/vz/69jLpoLXPJM4wbsXNIfDYbqKHao6B9Fli1L43t3e+7PHJgt5ua2AeOvCq95gzyIJnui2TUZzczPf/OY3U75+8OBBGhsbmTdvXvy5QCDArFmz2LFjh6nP2jTSW4kTes+0vHimGCo+iQq+BjhQdQ6iy5ZD+8k90Yjypx7vdONkIfBuWxFvvXjVG4Zx5dmfAwcO8Jvf/IbHH3885TaNjY0AjB49us/zo0eP5vDhwyn3S3YhcNeILiZ0T+Sqpn8jWhTly/CXFBYW0tHREb9+qLu7m0AgQGtrK0VFRYTD4T7f29ra8Pv99PT0oJTC7/fT1tZGYWHhgG0jkQiBQICuri58Ph+5ubl0dHRQUFAwYNvW1lZCoRCdnZ3k5OTg8/no7OwkHA4TiUQYO3Zsn31i3nl5eSil4t6RSCSpS1tbG/n5+XR3d9viHY1Gyc3NjXtHAo+S4+vG3z2X003nUlQUiXu3t7fj9/uz9m5vb0/qEolECAaDBOv+TB7Qfu4iWpuaCIVCSb0LCgrif/uYd9G2twgAHd++kDMtYYoUA7yb9u2LTxaitJRIJJIyhjHvvLw8Q3/7WLyj0ahh766uLgKBAEePHiUUChEKhZK2WaUUPT09hv722Xjn5OTQ2dmZ1Duxzfb/X7PaG8jqf81qb13HiEze/Y8R6bx1HiOCwWDS42y6Y0TsWGgpykFWr16tgLRfO3fu7LPPsWPH1MSJE9Utt9yS9r3/+c9/KkA1NDT0ef7WW29V11xzjSmnWbNmqfb29ux/UQdob29Xq1evFm+NeNVdvPUi3vqxw92nlFLWpmPjnDx5kpMnT6bdZty4cQSDQQAaGhqYM2cOM2bMYMOGDeTkpO51rq+vZ8KECbz//vtMm/b1XTgWL17MyJEjef7555Pu17/yPHPmDOeddx7Nzc2MGDHCzK/nKGfOnKGkpES8NeJVd/HWi3jrxw53R7ttS0tLKS0tNbTtsWPHmDNnDtOnT2f9+vVpEyfA+PHjKSsrY8uWLfHkGY1G2bZtG4888kjK/QKBgKevZxIEQRDsxxMThhoaGpg9ezbnnXcejz32GCdOnKCxsTE+rhmjoqKCqqoqAHw+HytXruTBBx+kqqqKjz76iOXLl1NQUMBNN93kxK8hCIIgDBE8MWFo8+bN7N+/n/3793Puuef2eS2x17muro7m5ub443vuuYe2tjZ++MMfcurUKWbMmMHmzZtNXeMpCIIgCP3xRPJcvnw5y5cvz7hd/+Fbn8/HmjVrWLNmTdafHQgEWL16tee6csVbP151F2+9iLd+7HB3dMKQIAiCIHgRT4x5CoIgCIKbkOQpCIIgCCaR5CkIgiAIJpHkKQiCIAgmkeTZD6fvHToYHnjgAS677DIKCgoYOXKkoX2WL1+Oz+fr8zVzZvKFze0iG283xPvUqVMsXbqUkpISSkpKWLp0KadPn067j1Pxfuqppxg/fjzBYJDp06fzj3/8I+3227ZtY/r06QSDQc4//3yeeeYZ2x2TYca7urp6QGx9Ph+ffPKJRmPYvn07ixYtYsyYMfh8Pv7yl79k3McN8Tbr7ZZ4P/TQQ1xyySUUFxczatQorr/+eurq6jLuN9iYS/LsR+K9Qz/++GOeeOIJnnnmGe699960+8XuHfrkk0+yc+dOysrKuPrqq2lpadFk3ruC0pIlS7jjjjtM7Td//nw+//zz+Nfrr79uk2FysvF2Q7xvuukmdu/ezZtvvsmbb77J7t27Wbp0acb9dMf7pZdeYuXKldx3333U1tZyxRVXsGDBAo4cOZJ0+4MHD3LttddyxRVXUFtby7333suPfvQjXnnlFVs9B+sdo66urk98J02apMm4l9bWVr773e/y5JNPGtreLfE26x3D6Xhv27aNO++8k3feeYctW7bQ1dXFvHnz0t4A25KYW7ZK7hDm0UcfVePHj0/5ek9PjyorK1MPP/xw/Ln29nZVUlKinnnmGR2KfVi/fr0qKSkxtO2yZcvU4sWLbfUxilFvN8R77969ClDvvPNO/LmamhoFqE8++STlfk7E+9JLL1W33357n+cqKirUqlWrkm5/zz33qIqKij7P3XbbbWrmzJm2OSbDrPfWrVsVoE6dOqXBzhiAqqqqSruNW+KdiBFvN8ZbKaWOHz+uALVt27aU21gRc6k8DaDz3qFOUF1dzahRo5g8eTIrVqzg+PHjTiulxQ3xrqmpoaSkhBkzZsSfmzlzJiUlJRkddMY7Go3y3nvv9YkVwLx581J61tTUDNj+mmuuYdeuXXR2dtrmmkg23jGmTZtGeXk5V111FVu3brVT0xLcEO/B4LZ4x1aZS3fMtiLmkjwzELt36O23355ym3T3Du2//q7bWLBgAS+++CJ///vfefzxx9m5cydz584dcE9TN+GGeDc2NjJq1KgBz48aNSqtg+54nzx5ku7ublOxamxsTLp9V1dXxrsgWUU23uXl5Tz77LO88sorbNy4kSlTpnDVVVexfft2HcpZ44Z4Z4Mb462U4ic/+QmXX345U6dOTbmdFTEfNslzzZo1SQe3E7927drVZ5+Ghgbmz5/PkiVLuPXWWzN+hs/n6/NYKTXgOR3eZrjxxhtZuHAhU6dOZdGiRbzxxhvs27ePTZs2udobnI93ss/K5GBXvDNhNlbJtk/2vN2Y8Z4yZQorVqzgoosuorKykqeeeoqFCxfy2GOP6VAdFG6JtxncGO+77rqLDz/8kD/96U8Ztx1szD2xtq0V3HXXXXz/+99Pu824cePiP8fuHVpZWcmzzz6bdr+ysjKg92ymvLw8/vzx48cHnN2Yxaz3YCkvL2fs2LF8+umng3ofO73dEO8PP/yQL774YsBrJ06cMOVgVbxTUVpaSm5u7oBqLV2sysrKkm6fl5fHWWedZYtnf7LxTsbMmTP5wx/+YLWepbgh3lbhZLzvvvtuXn31VbZv3z7gBiL9sSLmwyZ5uvHeoVZ7W0FTUxNHjx7tk5SywU5vN8S7srKS5uZm/vWvf3HppZcC8O6779Lc3Mxll11m+POsincq8vPzmT59Olu2bOGGG26IP79lyxYWL16cdJ/Kykpee+21Ps9t3ryZiy++GL/fb4tnf7LxTkZtba1tsbUKN8TbKpyIt1KKu+++m6qqKqqrqxk/fnzGfSyJucmJTEOeY8eOqYkTJ6q5c+eqzz77TH3++efxr0SmTJmiNm7cGH/88MMPq5KSErVx40a1Z88e9YMf/ECVl5erM2fOaHM/fPiwqq2tVffff78qKipStbW1qra2VrW0tCT1bmlpUT/96U/Vjh071MGDB9XWrVtVZWWlOuecc1ztrZQ74j1//nx1wQUXqJqaGlVTU6O+853vqOuuu67PNm6I95///Gfl9/vVc889p/bu3atWrlypCgsL1aFDh5RSSq1atUotXbo0vn19fb0qKChQP/7xj9XevXvVc889p/x+v3r55Zdtc7TC+4knnlBVVVVq37596qOPPlKrVq1SgHrllVe0ere0tMTbMKDWrl2ramtr1eHDh5N6uyXeZr3dEu877rhDlZSUqOrq6j7H60gkEt/GjphL8uzH+vXrFZD0KxFArV+/Pv64p6dHrV69WpWVlalAIKCuvPJKtWfPHq3uy5YtS+q9devWpN6RSETNmzdPnX322crv96tvfetbatmyZerIkSOu9lbKHfFuampSN998syouLlbFxcXq5ptvHjBt3y3x/u1vf6vGjh2r8vPz1UUXXdRnGv+yZcvUrFmz+mxfXV2tpk2bpvLz89W4cePU008/bbtjMsx4P/LII2rChAkqGAyqb3zjG+ryyy9XmzZt0u4cu4Sj/9eyZcuSeivljnib9XZLvFMdrxOPF3bEXG5JJgiCIAgmGTazbQVBEATBKiR5CoIgCIJJJHkKgiAIgkkkeQqCIAiCSSR5CoIgCIJJJHkKgiAIgkkkeQqCIAiCSSR5CoIgCIJJJHkKgiAIgkkkeQqCIAiCSSR5CsIw5MSJE5SVlfHggw/Gn3v33XfJz89n8+bNDpoJgjeQtW0FYZjy+uuvc/3117Njxw4qKiqYNm0aCxcuZN26dU6rCYLrkeQpCMOYO++8k7/97W9ccsklfPDBB+zcuZNgMOi0liC4HkmegjCMaWtrY+rUqRw9epRdu3ZxwQUXOK0kCJ5AxjwFYRhTX19PQ0MDPT09HD582GkdQfAMUnkKwjAlGo1y6aWXcuGFF1JRUcHatWvZs2cPo0ePdlpNEFyPJE9BGKb8/Oc/5+WXX+aDDz6gqKiIOXPmUFxczF//+len1QTB9Ui3rSAMQ6qrq1m3bh0vvPACI0aMICcnhxdeeIG3336bp59+2mk9QXA9UnkKgiAIgkmk8hQEQRAEk0jyFARBEASTSPIUBEEQBJNI8hQEQRAEk0jyFARBEASTSPIUBEEQBJNI8hQEQRAEk0jyFARBEASTSPIUBEEQBJNI8hQEQRAEk0jyFARBEASTSPIUBEEQBJP8P52qsaeg7J0EAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 定义w1和x的值\n",
    "w_array = np.array([1/5, 1/4, 1/3, 1/2, 1, 2, 3, 4, 5])  # 权重数组\n",
    "x_array = np.linspace(-2, 2, 100)  # x轴数据范围\n",
    "y_arrays = [w * x_array for w in w_array]  # 计算每条直线的y值\n",
    "labels = [f\"w1 = {w:.2f}\" for w in w_array]  # 为每条直线生成标签\n",
    "# 绘制图形\n",
    "plot_lines(x_array, y_arrays, labels, \"y = w1 * x (w1 > 0)\")  # 调用绘图函数"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c76a0c9d-2a38-4d3b-9e8b-fd3b1995f434",
   "metadata": {},
   "source": [
    "## 第二组：y = w1 * x，其中w_array = -w_array"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "fe2930f2-b41a-4ae3-9bd9-c0dc2d59ccca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 定义新的w1数组\n",
    "w_array_negative = -w_array  # 权重数组取反\n",
    "y_arrays_negative = [w * x_array for w in w_array_negative]  # 计算每条直线的y值\n",
    "labels_negative = [f\"w1 = {w:.2f}\" for w in w_array_negative]  # 为每条直线生成标签\n",
    "# 绘制图形\n",
    "plot_lines(x_array, y_arrays_negative, labels_negative, \"y = w1 * x (w1 < 0)\")  # 调用绘图函数"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "69c38a05-fcb8-4f65-8547-58289ea10294",
   "metadata": {},
   "source": [
    "## 第三组：y = x + b，其中b_array = np.arange(-3, 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "fda114c9-91b7-4fb5-ab62-9509868e5579",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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TCk45Ng1Z4alCWmq4hkJx+P1zGLqRVyAwAz7f/3zmCtIuXbpg3rx54DgOvXr1wo4dOzBv3jzF8BwwYAC2b98O4H8vxMwiBaeffrou7507d0Z9fT0SiQR++9vf4le/otu0NlUs6vFabHVsmsGZyaatNDbF4GzFpqxW7ODTQNOUlj8bCE5ZNmWl8mkGZyablgrmtu3ChQtx3nnnobi4GMXFxaisrMT/+3//T3H7qqoqcCc6AaT+fPPNN5r3HQ6HjVjPi3It+Rg4cGBawFZWVmL37t2Kn9A8Hg+6d++O7t2746yzzsJZZ52V/F36yRaefr8/+ZP5feb69euxefNmLFq0CE899RReffVVjf9a9QqHw8zOp8VWZtMOzlQ2CyXZlIMzjc1AaWyKwdmKzUASn3ZwSmzaKpiRZ+fOnfH73/8e3bt3B9By2/EnP/kJtm3bhr59+yo+b9euXSguLk7+3r59e8371jLN2et1IhCYoWpbpRGcHnm96V+I017yYfS2rTRqBZB2PoCW1nEA8P3vfx+1tbV49NFHceuttxozrKC8LxM4BdksglNis5LP52MSnEk2IyXZlIMzjc1IPp8Pe23VeBNvUA1OiU1bBROeI0eOTPv9sccew8KFC/H5559nDc8OHTqgtLTU0L4DgYDqEnwcx6XdPs0mlgXWpVGnUjB//vnnrX7v0aOH4vapt22VfGcbeUofetT4ptFNXknSYmm9JRUttjYdq63FuzfdhEObN1MNToDxMWlqQtHie4H1K6gGJ8D+XHrEFwAyq+UBSsEpsQE2vgFgZ/RrvFv6DgQIVIMT0PYerlYFE56pEgQBK1euRDAYRGVlZdZt+/Xrh0gkgnPOOQcPPvgghgwZknX7aDTa6s27oaEBfr8fgUAg+X+fz4fm5maIoohEIoFEIgGO4yCKImw2W6v/E0LAcVxy1pf0Z47jEI/HFZ8jbavEldtW+rMoihAEQXbb/fv3Y+rUqRg/fjy2b9+Op59+Gn/6059aeZE8Op1OdOvWDRzHQRCE5C3fTC+CIKj2vWjRInTp0gW9evUCx3H49NNPMW/ePNx1112KvqXHGxoaUFRUhFAoBJ/Pl3Zu/H4/wuEwXC5X0o/T6UQkEoHNZkMwGEQoFEpuGwqF4Ha7EY/HwXEc7HY7YrEYPB5PK24wGITX60U0GoXdbk+eP7fbjXA4DJ/Ph8OHD6e9TiKRCJxOZ9K/y+VKbpvJD4VC4Hk+6dvhcCAajcr6DgaD8Hg8un0nEgnwPI9IJAKv15vmWzqGkm9RFOF0OjX5bj5yBO/97GfJ4LzmjTdQ0rs36uvr03zbbDbE43FZ39IxlHxL1z8L30DLh81oOIziJdPgXr8CxGZH04QFcF40EsEU3zabLXnuafsWRTH5ms3lW3rfsdvtiEaj8JLF8J8IziA3BZx9FoJHjujy7XA4kq/ZXL4zrzWtvg/7D+HdkncgcAK6RStwrTAKx4PH4fF4EIvFWl1rwWBQ1nfmtcbzPEKhEJPiKwUVnjt27EBlZSUikQj8fj9Wr16Nc845R3bb8vJyPPfcc+jfvz+i0SheeuklXHHFFaiqqsIPf/hDxX3MmTOn1WzPiRMn4k9/+hPVfwvQEm7SmwcLdrbvPG+99VaEw2FceumlsNvtmDhxIsaPH69qSjct36Io4sEHH0R1dTUcDgfOOussPProo/jlL39piJtNUgCxkMSVur/QFGvfhBCqvqNNTVhz442o27QJruJi3LBmDXw9elDjA2x8QxThf2Eq3J+8BmKzIzZ1CaIXDAPNe0NMfANwC8/BL7YEZ5yfjmB8OvwU13uz8r3fWYM1/F8hcAK6hM7E8MAIOPwOREHvDlQwGES7du2o8QCAIywX7lBWLBZDTU0NGhoasGrVKrzwwgtYt26dYoBmauTIkeA4Du+8847iNnIjT0EQcNppp7XaNhKJoLq6GhUVFbqardL8zvNUYRs95lIAsbj1ZLFblPkd5w1r1qDissuosFNF/ZikfMcpBSc/dCwddoqYnMuUdZxxfjqcp/2Ryq3aVLHwnVpy72yhO0ZHx6DYW5z7iRoVCoWoXzsFM9sWaJlu3L17dwwYMABz5szB+eefjyeffFL18wcOHIjdu3dn3Ybn+eSMXumH1fqmQi2wXqhsoOUiYjmCO9XZmcF57cqVKOrViwo7U1SPScbkoOaJC9F84Qg67AxRP5cpwRmy3YNG4T7qwQnQ951Zq/aq48MRC8Wo8VPF4topqNu2mSKEaJpcsm3bNpSXl2veD8/zmp+jRoVaYL1Q2QC7c2mx5ddx+infqk0VtWMiM6uWu3AEWB1xqucyo3KQgAfAMyrNSdO3XJH3MM9uGQyL66dgwnPmzJkYPnw4unTpgubmZqxYsQJVVVX44IMPAAAzZszAgQMH8OKLLwIA5s+fj27duqFv376IxWJ4+eWXsWrVKqxatUrzvlmNPFmXurLYrXWyVOoxG1tpOUpDQ4NxgwqickwUlqMIZvcNyJbcExob6bBlRMu3UncUs7/GM1Uw4Xno0CHceuutqK2tRUlJCc477zx88MEHuPLKKwEAtbW1qKmpSW4fi8Uwffp0HDhwAB6PB3379sV7772HESO034opoK+FLeVQoQa/mdnZ1nGa2Xe2dZym9g0o1qo1u+9sbcXM7j1TBROeixcvzvr3y5YtS/v9vvvuw3333Udl3w4Hm8NUCJ1PTiY2wO5cnqrsXAUQzOo7VwEE0/oGshZ5N7PvXJWDzOxdTgU1YShfYrVov1An3hQqG5CfTW2x9bHVVA4yo281lYNM6RvI2R3FrL7VlNxj7Z22CmbkmU+xqqhRqBNvCpUNsDuXpxpbbck9s/lWW3LPdL4BVW3FzOhbba1aM3rPJmvkqUJSWSraKtQRXKGygZZzyep8nipsLbVqzeRbS61aU/kGVPfjNJtvLUXeWXunLWvkqUJ+v58Jt1BHcIXKBtidy1OFrbXIu1l8ay3ybhrfgKZG1mbyrbU7ipm8q5E18lShk23kOXjwYEydOpUJ26iskad52Xq6o5jBt57uKKbwDWgKTs1sjdLC1tNWrNBGnlZ4qhDLkSerkVYhsN966y1ceeWVaN++fbJH69q1a5mOPqWeohZbG1tvW7F8+9bbVizvvgHNwamJrUNq2Xr7cbL2TltWeKpQMBhkwi3UERwt9ieffIIrr7wS77//PrZs2YIhQ4Zg1KhR2LJlCwWX8goGg8zO58nKNtKPM6/HxEA/zryfSx3BqZqtU2rYRhpZs/ZOW9Z3nirEoksGkN/vDhOJBCZPnoyXX34Zdrsdd911Fx555BFV6yxp+Z4/f37a748//jj++te/4v3338fFF19MZR+ZYnUuT1a20UbWeTsmBhtZ5/Vc6gxOVWwDysVuKYCgLzjV8I2IBdsKTxWSmj+rESFASGWJxkSipeoFjfW7Xk/69ZWrosby5ctx++23Y+PGjdi8eTPuuOMOdO3aFePHj5fdfv369Rg+fHhW5syZMzFz5kzN3iWJoojm5mbZDja0pOVcnupso8GZjU1DimyDwZmVTUFZ2QaCMyfboLKxs1UOosE3KhZsKzxVSEvVm1AY8A9QuzW9wx/YDPg0LGXq0qUL5s2bB47j0KtXL+zYsQPz5s1TDM8BAwZg+/btAFpGrUDrqh2nn366Lu+S5s6di2AwiJ/+9KeGONlUqNWR2ppNIziV2LQky04LTpuu4FRkU5Ii22BwZmVTkBKbRnBm49MQC7YVnirEom8la+V6sQwcODBtm8rKSsydOxeCIMj+ez0eD7p37w5AXz/P1C/sf/7zn2PRokVpf//aa69h9uzZeOutt1BWVqaaq1Usz+XJwqYVnHJsmmrFbhWcr+oKTlk2RcmyKQSnIpuS5Ni0glOJT0ss2FZ4qlAspr7HnNfTMgpUI6URnB55M27p0y6EbPS2rTRqBYDi4vRmt6+//jpuv/12rFy5EldccQXTAtFazuWpyKYZnJls2kpjUwzOVmzKasWmFJyybIrKZNMMTjk+TbFgF0x4Lly4EAsXLsTevXsBAH379sVvf/vbrG/o69atw7Rp0/DVV1+hU6dOuO+++zBhwgTN+9byZTPHqb99KggtFwiLD1y5Rp6ff/55q9979Oih+Akt9bat0sgz221badSaqddeew2//OUv8dprr+Hqq69m2pYIKLxJCW3Jph2cqWwWSrIpB2cam4HS2BSDsxWbslLZtIMzk09bp/SEoc6dO+P3v/998k14+fLl+MlPfoJt27ahb9++rbavrq7GiBEjMH78eLz88sv45z//iYkTJ6J9+/YYM2aMpn0HAgEmtRGl5R4sbinkYu/fvx/Tpk3DnXfeia1bt+Lpp5/G3LlzFXmpt22lL9+dTqchj6+99hrGjh2LJ598EgMHDkRdXR3i8Tg8Hg/atWtniK0kabE0i/NZyOxYczP+duutVINTYgMMj4kowrtoMtXgTLLB+FySxVSDM43N0Hett5Z6cKbyWXmnzeVIATerPP300/GnP/0Jt99+e6u/u//++/HOO+9g586dyccmTJiAf//739iwYYOm/YRCIdkDH4lEUF1djYqKCrjdbs3+9Xx3SIM9ePBg9O3bF6Io4tVXX4Xdbsedd96Jxx9/XNUX67R8Dx48GOvWrWv1+NixY7F8+XLZ5xg95qFQCACbC7RQ2cfr6vDmqFE4uHEj1eAEGB+TQACuBRPh+OglqsEJsD+XjuhCuCLTWx6gFJwSG2Dne6+tGm+636AenBIfYOO9IRhCqZYZlSpUMCPPVAmCgJUrVyIYDKKyslJ2mw0bNmDo0KFpj1111VVYvHgx4vG44qhJri1OdXU1evTogUAgAL/fj0AgAJ/Ph+bmZoiiiEQigUQiAY7jIIoibDZbq/8TQsClNKvlOA7xeDznc6RtlbaR25YQAkEQIIoiXC5Xq23//ve/J7d7+umnk3zpp618/+Mf/1D0Lf0/kys93tDQgKKiIoRCIfh8vrRz4/f7EQ6H4XK5IAgCCCFwOp2IRCIIBoMIhULo2rVrcttQKAS32538d9ntdsRiMXg8nlbcYDAIr9eLaDQKu92ePB5utxs1NTXwer3weDxpr5NIJAKn05n073K5EA6HZX2HQiHwPJ/07XA4EI1GZX0Hg0F4PB7dvhOJBBCN4tURI3B0+3bwpaW4Yc0a2Dt3RigUQjgcTvoWRRFOp5OJb5vNlrzjkMmVjqHkW7r+eacT8T+Ng/dfb4FwNsSmLkVjnyHwG/ANtHwgVOPbZrMlz70m3zyPwKE5KPM8BgCI89NxPHwP/I5w0rcoisnXbC7f0vsOC98OhyP5muV5HpuO/gvrOn8MAQLOFrrjiqM/RswfQ2O4sdW1ptW31+vFvn370q4fyXcsFmt1rQWDQVnfmdcaz/P4sjmCG44XY18ftQmjTgVVYWjHjh3w+/3geR4TJkzA6tWrcc4558huW1dX12rWZllZGRKJBI4cOaK4jzlz5qCkpCTtZ+nSpVT/HZIKoYTeycQGAJ/Px6z1kdfrhc/nY8Jm4TvW1IRVo0cng3PkypUo69eP6j6YHG9RhGvhJJT+6y0Qmx1Ndy2E8IPrqe6C1evEEV2QDM4gNwVxfjaVEackVr732qpbgtMmoFu0AqOjY2CnPPZicf18G+dwXUMpaoixr5jkVFC3bWOxGGpqatDQ0IBVq1bhhRdewLp162QDtGfPnrjtttswY8aM5GP//Oc/8YMf/AC1tbXo2LGj7D7kRp5NTU3o3Llzq22N3kKk9d3hqcQ2eszr6+sBAO3bt9dv8iRgp04O4ktLce2bb+KcK66gwk4V9WOSMjmI2OxovmshikfKr002IibnMmVyUIi7B96yeVSDE2DjO3VyULdoBcby46jdqk0Vbe97YsCQvcB3CaCnPYFdveh6Lqjbti6XKzlpZcCAAdi0aROefPJJPPvss6227dixI+rq6tIeO3z4MBwOB8444wzFffA8D57n0x5jtf6oUFt7FSobKLyGuyzYmbNqf7pmDcouuIAaP1VUj0lG5aDo1MWwX0Z3xCmJ+rlMCc6YazoI/xD14ATo+04NzrMT3TEqcR0cPJvYoOk9NTj7uIB3O0RBO+4K6rZtpgghrUaJkqQOHan68MMPMWDAAM0jJqV9GBUhhNmaRostL7k7C6cSW245SmmfPqb3LVdyLzRgpPl9A62WowTwAKKM1jTS9J25HGV409UQouyWktHynhmcH3cDShP0XycFE54zZ87E+vXrsXfvXuzYsQOzZs1CVVUVbrnlFgDAjBkzMHbs2OT2EyZMwL59+zBt2jTs3LkTS5YsweLFizF9+nTN+y7ECkOW5GW325mdT7OzldZxmt23Uq1a0/sGZNdx2h0O0/uWW8fJ23nmVYCM8uWCs8xxilcYOnToEG699VbU1taipKQE5513Hj744ANceeWVAIDa2lrU1NQkt6+oqMD777+Pe++9F3/5y1/QqVMnPPXUU5rXeALsai4WWi3HQmez5puZna0Agpl9ZyvybmrfgGIBBLP7ViqAYPZrMzM4P+rWEpw02HIqmPBcvHhx1r9ftmxZq8cGDRqErVu3Gt63VEaPtljenrTY8mJ1Ls3MzlU5yKy+c3VHMa1vIGvlIDP7zlY5iKVvo3y54OyYkm4svBdMeOZTmROIaMnsn0BPNjbA7lyala2m5J4ZfatpK2ZK3wAQfDpr5SCz+s5Vco+lbyP8XMFphJ1NBfOdZz7Fqru5VJTAYrcNG2Dfrd5MbLW1as3mW21bMdP5Bk4E55SWPytUDjKjbzW1aln61stXE5wSm7askacKpbbToql8LfkYPHgwLrjgAsyfP58626hYL1VhdS7NxtZS5N1MvrUUeTeVb0BVcOpmq5Qe9rfYg1fwUs6Seyx96+ErTQ6iwVYja+SpQlLBYtoq1BEcLXZtbS1uvvlm9OrVCzabDVOnTmU+8gwEAszOp1nYWrujmMW31u4opvENqA5OXWwN0spWG5x62Fqlha8lOCU2bVkjTxU62UaeZmFHo1G0b98es2bNwrx586iylWS2T/202XraipnBt562YqbwDWgKTs1sjdLC1hKcWtl6pJavNTi1sLXIGnmq0Mk48kwkEpg8eTJKS0txxhln4MEHH1Q905WW727duuHJJ5/E2LFjUVJSQpWtJDN96qfN1tuPM9++9fbjzLtvQHNwamLrkFq21uDUwtYrNXw9wSmxacsaeaqQlk8thAAhlasthBOfXWIUssLLpV+zuUZwy5cvx+23346NGzdi8+bNuOOOO9C1a1eMHy9fJ3T9+vVZG48DLYUsZs6cqdl7qqyRpz62kUbWeT0mBhpZ5/1c6ghO1WydUsPWE5xq2UaUi683ONWw9cgKTxUKh8Oq6y6GCOD/Ri2ZXtWLQG/Al3Ld5hpFdunSBfPmzQPHcejVqxd27NiBefPmKYbngAEDsH37dgD/WzPlcKS/fE4//XT9/wCVvo0qHA4DYFOHNl9sI8GZi21UWdkGgjMn26BysnUGpyq2AeVi6w1ONWyjysY3EpwSm7ZvKzxViEX3ENbKtV5y4MCBadtUVlZi7ty5EARBtpSVx+NJFuXX0ww79ZPfz3/+cyxatEiXb6NieS7zwTYanNnYNKTIVrGOUzebgrKyDQRnTrZBZWMbCc5cbBpS4hsNzmxsI7LCU4W0jIa8XMsoUI2URnB65M24dmmP4IzetpVGrQBQXFysyGA98izU6khybBrBqcSmJVk2heBUZFOSIttgcGZlU5AS22hwZmPTkhyfRnAqsY3KCk8V0jKBhePSb59mU+LE13uOPEzb+vzzz1v93qNHD8XRpNHbttKoNd9iORmpLdm0glOOTVOt2JSCU5ZNUbJsCsGpyKYkOXZLAQRjwanEpqlMPq3glGPTkBWeKsTqdkU+y9zt378f06ZNw5133omtW7fi6aefxty5cxW3N3rbVklSIAcCAdTX1+Pf//43XC4Xvv/97xtmy+lkuG1LMzgz2bSVxqYYnK3YlNWKTSk4ZdkUlclWUzlIL5u2Uvk0gzOTTUsFs1Rlzpw5uOiii1BUVIQOHTpg1KhR2LVrV9bnVFVVgTvRxSD155tvVM/oAfC/L7JpK59LVcaOHYtwOIyLL74YkyZNwt1334077riDCluL+vXrh379+mHLli149dVXMWDAAIwcOZIKW07hcJjZ+WwLNu3gTGWzUJJNOTjT2AyUxg4+RS04W7EpK5VNMzgz2Swk8WkHp8SmrYIZea5btw6TJk3CRRddhEQigVmzZmHo0KH4+uuv4fP5sj53165dad+ztW/fXtO+c/H1Kl+FDKqqqpJ/XrhwIVW2VmV+FyGNalmJ1blsCzaL4JTYrOTz+ZgEZ5LNSEl2lu4ohtkMJLFpB2cqm5V8Ph++jXMYsZducEps2iqY8Pzggw/Sfl+6dCk6dOiALVu24Ic//GHW53bo0AGlpaW69x0IBJhMz5ZGbywatVpseUmLpVmcT5bsY7W1ePemm3Bo82aqwQkwPiZNTShafC+wfgXV4ATYn0uP+DxAHmx5gFJwSmyAne/9zhq8511DNTglNsBuqcqOxjCuayzFQZFucAJs3sMLJjwz1djYCEDd2sJ+/fohEongnHPOwYMPPoghQ4YobhuNRhGNRtMea2hogN/vRyAQSP7f5/OhubkZoigikUggkUiA4ziIogibzdbq/4QQcByXHGlJf+Y4DvF4XPE50rZKXLltpT+LoghBEFR5KRTf0uMNDQ0oKipCKBSCz+dLOzd+vx/hcBgulwuCIIAQAqfTiUgkApvNhmAwiFAolNw2FArB7XYjHo+D4zjY7XbEYjF4PJ5W3GAwCK/Xi2g0CrvdnjwObrcb4XAYPp8Phw8fTnudRCIROJ3OpH+Xy5XcNpMfCoXA83zSt8PhQPORI3jvZz9LBuc1b7yBkt69UV9fD4/Ho9t3IpEAz/OIRCLwer1pvqVjKPkWRRFOp1OT72g4jOIl0+BevwLEZkfThAVwXjQSwQzfNpsN8Xhc1rd0DCXfQMvdCRa+gZYPbdFoFF7yAvwngjPITQFnn4XgkSNJ3zabLXnuafsWRTH5ms3lW3rfkXwf4L/Du0XvQICAbtEKXCuMwvHgcV2+HQ5H8jWby3fmtabVd63Th9ENJagldvS0J/BeWQy240EEPB7EYrFW11owGJT1nXmt8TyPUCjE5C5fwXznmSpCCKZNm4Yf/OAHOPfccxW3Ky8vx3PPPYdVq1bhrbfeQq9evXDFFVfgk08+UXzOnDlzUFJSkvbz5JNPsvhnFETx9pOJDSAZnCwUCoWotz6KNjVhzY03om7TJriKi3HDmjVof955VPfBwjdEEf4XpsL9yWsgnA2xqUsQHTiK6i6Y+AbgFp6DX5wFAIjz0xHkZlIZcUpi5Xu/swbvFL0NwSbgbKE7hjeOoDLilMTK938TNgyv41FLHOjOxbCq5DjKKN94YuGbI6wX7zDQpEmT8N577+HTTz9F586dNT135MiR4DgO77zzjuzfy408BUHAaaed1mrbSCSC6upqVFRUwO12a/IhcQE2tyhPVrbRYy4FJ4tbT7TZmd9x3rBmDSouu4wKO1XUj0nKd5zEZkNs6lLwQ8fSYaeIyblM+Y4zzk+H87Q/Ug1OgI3v1HWcZwvdcYv9VqrBCbDxnTo5qLdTxPsdI6goYnNt0r7mC27keffdd+Odd97Bxx9/rDk4gZbKOrt371b8e57nUVxcnPbDahJLoY7gCpUNtFxELEeetNiZwXntypUo6tWLCjtTVI9JRsm95omL0HzhCDrsDFE/lynBGbLdg0bhPurBCdD3nRqc3WIVuOr4cOrBCdD3nTmrdlXJcRRF2V2btFUw33kSQnD33Xdj9erVqKqqQkVFhS7Otm3bUF5eruk5PM/r2lcuFULbsJOJDbA7lzTZcrNq/T16UGHLidoxkZlVy104AqyOONVzmTGrVsAD4Bmtw6bpO7Ny0NXRkXDwbN7WafqWW47iDbuo8TPF4rovmPCcNGkSXn31Vfz1r39FUVER6urqAAAlJSXweDwAgBkzZuDAgQN48cUXAQDz589Ht27d0LdvX8RiMbz88stYtWoVVq1apWnfrEaeJ1OpuEJgA2yXwtBgKy1HaWhoMG5QQVSOicJyFMHsvoETBRDSl6MIJyYkshAt33Il9wJCAALYvMZp+VZax9lg8mszUwUTntJ6xMGDB6c9vnTpUowbNw4AUFtbi5qamuTfxWIxTJ8+HQcOHIDH40Hfvn3x3nvvYcQIbbeRCvBrYUsKMnPwZ1vHaWbf2dZxmto3oFg5yOy+lWrVmt13tgIIZveeqYIJTzX/+GXLlqX9ft999+G+++4zvG8ahdvllM/yfKciG2B3Lo2ycxVAMKvvXAUQTOsbyFpyz8y+sxV5N7PvXJWDzOxdTgU3YSgfypx9S0v5mngzePBgTJ06lQnbqFhPGJKbTZ1vtprKQWb0raZykCl9AzlL7pnVd67uKGb1rabkHmvvtGWFpwqxqqhhs9mYTZAxI3vHjh0YNGgQPB4Pvve97+F3v/tdqzsKLH0DLeeS1fnUw1Zbcs9svtWW3DOdb0BVyT0z+lbTHcWMvtXWqmXtnbYK5rZtPmWV5zPObmpqwpVXXokhQ4Zg06ZN+M9//oNx48bB5/Ph17/+tSG2FpmpPJ+WWrVm8q2lVq2pfAOqa9WazbfaWrVm862lyDtr71Z5vjzI7/cz4eZzyUcikcDkyZPx8ssvw26346677sIjjzyi6jtHPb5feeUVRCIRLFu2DDzP49xzz8V//vMf/PnPf8a0adOS+2W9VIXVudTK1lrk3Sy+tRZ5N41vQFORdzP51lLk3Uy+tXZHMZN3NbJu26qQ9IlIjQgIYir/i4gRRMSI6u2z/UeQfvsz13eHy5cvh8PhwMaNG/HUU09h3rx5eOGFFxS3X79+Pfx+P/x+f7JsofS79PP4448rPn/Dhg0YNGhQ2nqrq666CgcPHsTevXtV+zaqQCCg6XyyYOvpjmIG35kFENQUeTeFb0BzdxSz+NbaHcUsvvW0FWPtnbaskacKafnUEkccj+JhdRtT7M/6IB6CC/9bZJxrBNelSxfMmzcPHMehV69e2LFjB+bNm4fx48fLbj9gwIBk42qlEnrZivTX1dWhW7duaY+VlZUl/04qenGyjzz1thXLt+/Wwfmqqu4oefcN6GorZgbfetqKmcG33n6cZvCuRVZ4qpDUkaKQlOu7w4EDB6bdoq2srMTcuXMhCILsczweD7p37w4AiMfjALR3Z8+8JZzaUUWtb6OSCkSzOJ+52Eb6cebTt97gVMU2IFVsnf048+1bbz/OfPs20siatXfrO888SKpgpEZOOPEgHlK1Lc0C686MYSztEdz69esxfPjwrNvMnDkTM2fOlP27jh07JqtCSTp8+DCA/41AAfYjTy3nkibbaCPrfPk2Epw52QaVk22gkXU+fRtpZJ1P30aCUw3fiFiwrfBUIWmkpUYcuLTbp9mUIAkAYFLEOVdRic8//7zV7z169FAM8tTbtonECd8ZC4+z3batrKzEzJkzEYvF4HK1HJ8PP/wQnTp1Srudy7qak5ZzSYttNDizsWlIkW0wOLOyKSgr20Bw5mQbVDa2keDMxTaqbGyjwZmLb1Qs2FZ4qhDrqjf50P79+zFt2jTceeed2Lp1K55++mnMnTtXcfvU27ZK4ZlNN998Mx5++GGMGzcOM2fOxO7du/H444/jt7/9bZse37aujkQjOJXYtCTLphCcimxKUmQbDM6sbApSYhsNzmxsGlJi0wjObHwaYsG2wlOFWN1KzOeLZezYsQiHw7j44otht9tx991344477qDCllNJSQnWrl2LSZMmYcCAATjttNMwbdo0TJs2zTBbi9pyeRCt4JRj01QrNqXglGVTlCybQnAqsilJjk0jOJXYtCTHphWcSnxaYsG2wlOFWN1OyFch5KqqquSfpYL7tNjZ9P3vfx+ffPIJE7ZatdWtIZrBmcmmrTS2xnWcmtiU1YpNKThl2RSVyaYVnHJsmspk0wxOOT5NsWAXzDrPOXPm4KKLLkJRURE6dOiAUaNGYdeuXTmft27dOvTv3x9utxtnnXUWFi1apHnfrL7I5jiO2UjLYsvL4/EwO58Sm3ZwprJZKMmmHJxpbAZKY8u0FTPSyLqtfNMMzkw2baWyaQdnJp+2WHALJjzXrVuHSZMm4fPPP8fatWuRSCQwdOjQ5PRmOVVXV2PEiBG4/PLLsW3bNsycORNTpkzR3M+T1cLdQi2wXqhsgP1C7GO1tdSDU2IzXfze1EQ9OJNs1ov2s3RHMcxmIIlNOzhT2SwksVkEZyqfhU7pIgkffPBB2u9Lly5Fhw4dsGXLFvzwhz+Ufc6iRYtw5plnYv78+QCAPn36YPPmzXjiiScwZswY1fs+GcvznYpsgO1CbKco4q+33IKDGzdSDU6A8QJyrxeuBROBj16iGpwA+4XvjuhCoGl6ywOUglNis5Lf78deWzXexBtUg1Nis5Lf78e3cQ4j9tIPTonPSlZ5vhQ1nuj0nm15xIYNGzB06NC0x6666ips3rxZ0z1wa+R5crABdp9uo01NeH3kSCbBCTD8VC6K4J4cDweD4ATYjiaEpnlwRegHJ8DW987o11jJv049OAG2vnc0hjGs1sUkOAF23psCwJh76BddKZiRZ6oIIZg2bRp+8IMf4Nxzz1Xcrq6uLm0BPtCyID+RSODIkSMoLy9v9Ry5nnINDQ3w+/0IBALJ//t8PjQ3N0MURSQSCSQSCXAcB1EUYbPZWv2fEAIupUO99GeO4xCPxxWfI22rxJXbVvqzKIoQBEGVl0LxLT3e0NCAoqIihEIh+Hy+tHPj9/sRDofhcrkgCAIIIXA6nYhEIrDZbAgGgwiFQsltQ6EQ3G434vE4OI6D3W5HLBaDx+NpxZUqlUSjUdjtdnAch+CxY3j3pptwaPNm8KWluOaNN1DSuzcOHz4Mn8+HSCQCp9OZ9O9yuRAOh2V9h0Ih8Dyf9O1wOBCNRmV9B4NBeDwe3b4TsRiKlkyDZ/0KEJsdTRMWwHnRSAQOH04eQ8m3KIpwOp1MfNtsNsTjcVnf0rUm+QZaiov4sBhF5EEAQJCbAs4+C4H6ekO+gZaCJWp822y25DWgxXet5yDeLXkHAiegW7QC1wqjcCxwLM23KIrJ12wu39L7DgvfDocj+Zr9zubG6IYS1BI7etoTeK8sBu5YACGFa02rb6/Xm3zO4ROvP8l3LBZLvmbj8TjcbjeCwaCs78xrLRrnce1kFzZ/9b+a2rRUkCPPyZMn44svvsBrr72Wc1s1JeFSNWfOnGThc+nnySefNG5aRoU6gitUNoDkGwstRZua8M4NN+Dgxo1wFRdj6Msvo/1551HjS6LtG6II3/P3wPnRSyA2O478cj6iA0fR458Qdd8A+MSz4KP3AQAahYkIcjOpjTglsfBd49iHVe6VEGwCuoTOxPDGEdQLpLDw/d+EDSMOuVFLHOjOxbCq5DjKGFTPDIVCWeewaFVTEBg9xY3NXzlR4heocSVxhPXaAMq6++678fbbb+OTTz5JFhNX0g9/+EP069cvLfxWr16NG264AaFQSLY2q9zIM5FIyN4ejkQiqK6uRkVFBdxut+Z/C83yfKcK2+gxly5On8+n3+QJZc6q/emaNSi74AIq7EzR9J05qzYydTGEy643v28gbTlKzDUdcf4h+Bh8n0Xbd+rkoLMT3TEqeh1KfCVU2Kmi7Tt1clAvp4j3y8I4q5j+6wSg670pAAy7A9iwHTitGFjzlzAu6093xm3BjDwJIZg8eTLeeustfPTRRzmDE2gpCbd27dq0xz788EMMGDBAsag5z/MoLi5O+2ElQgizdY0WW15yH450cWSWo5T26UOFLbs/Sr7l2oqFBow0v2+g1TrOAB5ANBajw84QTd+Zs2qHN10NIUp/JATQ9Z05q/bt0kaUJti8TgB63jOD8+9LgD4VYeMGM1Qw4Tlp0iS8/PLLePXVV1FUVIS6ujrU1dUhHP7fQZkxYwbGjh2b/H3ChAnYt28fpk2bhp07d2LJkiVYvHgxpk+frmnfrDp8WGp72e12w+dTaR0nDbaSqLAVKgeZ3jcgWwDB7nCY3rfcchTezpved2ZwftQNKHfZmL4X0vAuF5wXnsPmPbxgwnPhwoVobGzE4MGDUV5envx5/fXXk9vU1taipqYm+XtFRQXef/99VFVV4YILLsAjjzyCp556StMylZNRgwcPxtSpU/NtoyDFogBCm4hiyb02F8XKQW0pFus420JywdnR/LYVg5OVCuCQtEjNrbxly5a1emzQoEHYunWroX1L38NZ0q9IJIIJEyZgy5Yt2LlzJ6655hq8/fbbbe7DyLnMFZwsXyeG2DmC07S+gazBaWbf2YLTzL6zBSfr90Ej/FzBycJ7wYRnPsXz9Kc5A4XXRcAIWxAEeDyenBWeWBeG13su1Yw4Wb1ODLFVjDhN6RvIWXLPrL5zjTjN6jvXiJOlbyN8NSNOFt4L5rZtPkVz+nSq8rnkI5FIYPLkySgtLcUZZ5yBBx98UPVEHT2+fT4fFi5ciPHjx6Njx45U2VoUDAY1n0+1t2r1sNVKF1vlrVrT+QZUldwzo281t2rN6FvNrVqWvvXy1d6qZeHbGnmqkKbSToQARN06Kxt34laCSGHGIOdNe3PJVeZu+fLluP3227Fx40Zs3rwZd9xxB7p27Yrx48fLbr9+/XoMHz48K3PmzJmYOXOmdu8pMlt5Pi3fcZqqvJiG7zhN5RtQXavWbL7VfsdpNt9qa9Wy9K2Hr+U7ThberfBUoUAgAK/Xq25jEgIOqTtRVOd/lQUA7n/ro6TRm9Issy5dumDevHngOA69evXCjh07MG/ePMXwHDBgALZv3w7gf+19Mpf7ZCuVqFa5fBuVVP5LzfnUOjlIC1urNLE1dkcxjW9AU5F3M/nWMjnITL61FHln6VsrX+vkIE3v4SplhacKsf7ExUK5RnADBw5M+36xsrISc+fOhSAIssHl8XjQvXt3AGyLJJhl5KlnVq0pRhQ62oqZwjeguTuKWXxrnVVrFt9au6OYZeSpZ1atNfLMkzR9auG8LaNAFYonTozgHPIFGzSJS/dHewTXVrdtzTDy1LscJe8jCp39OPPuG9DVVswMvvUsRzGDbz1txcww8tS7HMUaeeZJmj61cFza7dNsstkF6Q86XOVg5xjBff75561+79Gjh2Jopd62VRp50rhtm++Rp5F1nHkdURhoZJ33kZDOfpz59q13HWe+fevtx5nvkaeRdZzWyDNPCofDTD5tsSxDl4u9f/9+TJs2DXfeeSe2bt2Kp59+GnPnzlXcPvW2bSKRAAA4HNpePl9//TVisRiOHTuG5ubmZBhfcMEFqn0blVSRSu58Gi2AkI1tVFnZBoIzJ9ugcrINFEDIp28jBRDy6dtII2uWvnPxjRZAYPEeboWnCinVwTWqfK7FHDt2LMLhMC6++GLY7XbcfffduOOOO6iwlTRixAjs27cv+Xu/fv0ApAcm63WeSueSRuUgVq+TrGyDwZmVTUFZ2QYrB+XLt9HKQfnybSQ4c7FpSIlPo3IQC+9WeKoQyyLorJSNXVVVlfzzwoULqbKzae/evczYaiXHp1Vyr83PJ4XgVGRTkiI7LThnAkWPai65lw/fNEru5cO30eDMxqYlOT6tknssvFvhqUIsF+1baltlnkuatWpZvk5asSkFpyybomTZFIJTkU1JcmxatWrb2jeN4FRi01Qmn2atWhberfBUoZPxtu2pyAbSzyXtIu9tdjtOpq2YkSLvbXobkVJwyrIpKpNNs8h7W/qmFZxybNpK5dMu8s7Ce0GV5/vkk08wcuRIdOrUCRzH5SwsXlVVBY7jWv188803mvab2vaMpvJZnu9UZAMt5zIcDjPpjiKxWSjJZtAdpU18A1SDsxWbslLZ32IP1e4obeWbZnBmsllI4rPojsLCd0GNPIPBIM4//3zcdtttmtqK7dq1K62pdfv27TXtl1ZX9kyxXJZhseXl8/mYtRVj9TpJshm1FWPuG6AenGlsBpLYLcH5EtW2Ym3hm3ZwprJZyefzMWsrxsJ7QYXn8OHDcy7Ul1OHDh1QWlqqe78sFtgCbAsCWGx5Hautxbs33YRDmzdT78fJdPF7UxOKFt8LrF9BvR8n60X7HvF5gDzY8gCl4JTYADvf+501eM+7hno/Tta+qwU7rm/2Ug1OiQ2wW6pSeyiIm+4rxeav6PfjZPEeXlC3bfWqX79+KC8vxxVXXIGPP/5Y8/NZLQ622WzMRloWu7WiTU34f7fcwiQ4gZbXCZPXiiji9Bfvg4dBcAIMfQModb6EIgbBCbD1faS4Hu+V0g9OgK3vQ3wRxjSdRj04Aba+mwLALTNOx+avnEwaWVtFEjSqvLwczz33HPr3749oNIqXXnoJV1xxBaqqqvDDH/5Q9jnRaBTRaDTtserqavTo0QOBQAB+vx+BQAA+nw/Nzc0QRRGJRAKJRAIcx0EURdhstlb/J4SA47jklGmO4xCPx3M+R9pWaRu5bQkhEAQBoijC5XKp8lIovqW/b2hoQFFREUKhEHw+X9q58fv9CIfDcLlcEAQBhBCI4TDeHDUKdZs2wVVcjBvWrIG9c2eEQiGEQiG43e7kv8tutyMWi8Hj8bTiBoNBeL1eRKNR2O325PFwu92oqamB1+uFx+NJe51EIhE4nc6kf5fLhXA4LOs7FAqB5/mkb4fNBudf7oL7k9dAOBtiU5eisc8Q+EMhBINBeDwe3b4TiQR4nsf+/fvh8XjSfEvHUPItiiKcTqd63w4HuNAz8Ist5Rrj/HQcD0+B3xFu5dtmsyEej8v6lo6h5BtoqXDFwjfQcsdjt/gfrCn6KwROwNlCd1xx9MeI+WM4Hjye9G2z2ZLnnrZvURRBCFHlW3rfsdvt2BmMY9TxYtQSG3o7RbzhP4qimA/1x4O6fDscjuRrNpfv1GtNq+8jx2L42f2l2PiFHSV+AW880Yje3dyor2/xHYvFWl1rwWBQ1nfmtcbzfPIa79q1K4VU+Z9O6pFnr169MH78eFx44YWorKzEggULcPXVV+OJJ55QfM6cOXNQUlKS9rN06VIm/gp1BFdo7GhTE1aNHo26TZvAl5biqldfRdmJAg005fV66X63IopwL5qcDM4jtz8J4QfX0+OfEHXfAJyxRcngbBQmIs7PpjbilMTC9177Xqwp/isEm4AuoTMxOjoGdspjDBa+v41zGN1QglriQHcuhvc7RtDBRndtIwvfTQHgxunFyeBcNa8J5/VMUN0HwOY7T46wXvnKSBzHYfXq1Rg1apSm5z322GN4+eWXsXPnTtm/lxt5Njc343vf+16rbSORCKqrq1FRUQG3263JB6Dc2ouGTla21mOeOTno2pUr0f7889GuXTuqvgHgyJEjAECHnbGOs2niQsQGjja/byCtVm3Idg9Ctllop3GSnhrR9p06OahbrAIjmq5Bx3bKjdv1irbv1MlBPe0JrD6tEed0OIMKO1W0fWdODlo59zjO7yUwe43T5p7Ut23ltG3bNpSXlyv+Pc/z4Hk+7TFWaw/zNWt18ODBuOCCCzB//nzqbKOiyZabVevv0YMaP1OZrxvdkimAwF04ApTorUTNN9CqyLuAB8Azun5o+s6cVXt1dCQcPJu3R5q+M2fVrmkXQQe7ixo/VTR9y82q7dHFAVaRRPU1fkIFdds2EAhg+/btyYLi1dXV2L59O2pqagAAM2bMwNixY5Pbz58/H2+//TZ2796Nr776CjNmzMCqVaswefJkTfuVvg+hLUII09J/ZmJXVVXhJz/5CcrLy+Hz+XDBBRfglVdeocKWk9JyFEEQmJ1PKmyFykGm9w3IdkcRRNH0vlsKIKQvR+EEzvS+5ZajnIGE6X0rLUdh/RqnrYIaeW7evBlDhgxJ/j5t2jQAwC9+8QssW7YMtbW1ySAFgFgshunTp+PAgQPweDzo27cv3nvvPYwYMaLNvZ/q+uyzz3Deeefh/vvvR1lZGd577z2MHTsWxcXFGDlyJNV9sVrHyVwUS+61uXS2Fcu3aFYOakspreNsyLOvXGK1jjMfKtjvPNtSzc3NKCoqavW47PdvhADRkCquUl9MXeK9aW9W2diDBw/GueeeCwB4+eWXYbfbcdddd+GRRx5RdYualu+rr74aZWVlWLJkiWp2ru88cwVnc3MzAMieT6MyxM4RnKb1DWTtjmJm39mC08y+sxVAMLPvXMHJ2jttrvk/YplA0WhU/YGPhoBR6tYUUS0D8HYAcP9vRlmuYgPLly/H7bffjo0bN2Lz5s2444470LVrV4wfP152+/Xr1+csUDFz5kzMnDlTteXGxkb06dMn7TEjRRLUjDilyWAsLlDdbBUjTlP6BnK2FTOr71wjTrP6zlU5yKy+1Yw4WXu3wjMPYlVRg6VyTbzp0qUL5s2bB47j0KtXL+zYsQPz5s1TDM8BAwYkv2tWGh2efvrpqv29+eab2LRpE5599llNvpWk9lYty3Opi63yVq3pfAOq+nGa0beaW7Vm9K2m5J4Zfau9VWtG79lkhacKaSrtxHtbRoEqRHXJB5/uL9cIbuDAgWm3aCsrKzF37lwIgiD7HI/Hg+7du1PxXVVVhXHjxuH5559H3759NfmWk5bvOFmXRtPE1vAdp6l8A6obWZvNt9rvOM3mW22tWrP51vIdJ2vvtLlWeKqQptJOHJd2+zSbbM4TM8AY1HGlvZyE1m3bdevWYeTIkfjzn/+cNjNaklbfWicHsSovppmtsa2YaXwDqoNTF1uDtLK1TA4yk28tRd7N5Fvr5CAzeVcjKzxV6GQsDP/555+3+r1Hjx6K26fetlUaeea6bVtVVYVrrrkGf/jDH3DHHXfo8p0qPbNqTfHJXEd3FFP4BjQFp2a2Rmlha+2OYhbfWrujmMW3nlm11sjzJBTLwvCslIu9f/9+TJs2DXfeeSe2bt2Kp59+GnPnzlXcPvW2rZ7ZtlVVVbj66qtxzz33YMyYMairqwMAuFyutNBVe0xigQBWXnut5uUoef90q7OtWN59A5qDUxNbh9Sy9bQVM4NvPW3FzOBb73IUM3jXooIqkpAvBYNBJtx8NpUeO3YswuEwLr74YkyaNAl333234mhQK1tOy5YtQygUwpw5c1BeXp78ue666zSziSjinfHjda3jDAaDzM5nTnar7zjVd0fJq2/gxDpObcGpmq1Tath6+3Hm27fefpz59m1kHSdr77RljTxVyOPxMOHma+RZVVWV/PPChQupspW0bNkyLFu2zDBbFAQEDx9G3bZtugogsDqXOdkGCyDkzTdgqABCPn0baWSdT99GGlnn07fRAgh5fY3rkBWeKiR9x0dbLOtTnIxsURDQsHcvEtEo+JISXP/WW5orB7E6l1nZFCoH5cU3YLhyUL58GwnOXGyjysY2Epy52EaVjU2jclDeXuM6ZYWnCrEcIVpSJ1EQcPQ//0EiHAZns+EnS5boKrnX5qN9SiX38nKXgkLJvXz4Nhqc2dg0pMQ2GpzZ2DSkxKZVcq9QGk5IssJThVh1VWHFPdnYUnDGg0HAZoO/rAwdevWixqelVmyKtWrb/HzqmBykmk1JcmwawanEpiU5No3gVGLTkhybZq3aQnvPssJThazbtvljpwYnZ7ejtGtXBA8d0s1vs1tDlIu8t+ktLUrBKcumqEw2reCUY9NUJptWcMqxaSqTTbvIe6Hdti2o+5GffPIJRo4ciU6dOoHjOLz99ts5n7Nu3Tr0798fbrcbZ511FhYtWqR5v6y+yOY4jumottDZmcF5Rs+ecBlcq+XxeJidzySbQXeUNvENUA3OVmzKSmXLtRUz0h2lrXzTDM5MNm2lsll0R2HtnbYKKjyDwSDOP/98PPPMM6q2r66uxogRI3D55Zdj27ZtmDlzJqZMmYJVq1Zp2q+0eJe28rlUxexs2eD0qavclE2BQIDZ+QwEAgg0NTFpK8bcdyBAPTjT2AwksVm0FWsL37SDM5XNQhKbVVsx1t5pq6Bu2w4fPjxnibhULVq0CGeeeSbmz58PAOjTpw82b96MJ554AmPGjFHNORmLJJiZTUSRSXACjBdie71wLZgIfPSSqpJ7mtiMF5A7oguApv9reYBiP07WvvfaqvEm3qDej5O172/jHEbspRucEpuV/H4/036cVpEEE2nDhg0YOnRo2mNXXXUVNm/erOkeuDXybDu2EI/j2O7dTIITYPjpVhTBPTkejmRwqi+AoEYsP5ULTfPgitAPToCt753Rr7GSf51JI2uWvnc0hjGs1kU9OAG2vmsPBTFykpNZI2tW3kWR4He/q6LOLaiRp1bV1dWhrKws7bGysjIkEgkcOXIE5eXlrZ4TjUaTfeUkNTQ0wO/3IxAIJP/v8/nQ3NwMURSRSCSQSCTAcRxEUYTNZmv1f0IIOI5LToiR/sxxHOLxuOJzpG2VuHLbSn8WRRGCIKjyYgbfQiKBxupqJEKhlslBZ58Nu9ud3A8hJPnvaWhoQFFREUKhEHw+X9q58fv9CIfDcLlcEAQBhBA4nU5EIhHYbDYEg0GEQqHktqFQCO4T++E4Dna7HbFYDB6PpxU3GAzC6/UiGo3Cbre3HIdoFMVLfw3P+hUgnA1NExbCedFIBA4fhs/nQyQSgdPpTPp3uVwIh8OyvkOhEHieT/p2OByIRqOyvoPBIDwej27fiUQCPixGEXkQABDkpoCzz0Kgvj55DCXfoijC6XQy8W2z2RCPx2V9S9ea5BtoKQ9Z6zmId0vegcAJ6BatwLXCKBwLHDPkG2gpOanGt81mS14DWnx/Z3NjdEMJaokdPe0JvFcWA3csgFCKb1EUk6/ZXL6l9x0Wvh0OR/I1G43zuGF6MbbudKK0SMSaBVF0bteMUEj+WtPq2+v1Jp9z+PDhNN+xWOx/11o8DrfbjWAwKOs781pzOl2488738Npr3+D3vx+hO0vkdFKPPIHWU5RT36zlNGfOHJSUlKT9PPnkk0y85Wt0eMUVV2DatGlM2LqZgoDG//43OeI8vUcPOBh8yS+9sVCTKML3wlQ4P3oJhLPhyO1PIjpwFD3+CVH3DYBPPAs+eh8AoFGYiCA3k9qIUxIL3zWOfVjlXgnBJqBL6EwMbxxBbcQpiYXv/yZsGHHIjVriQHcuhlUlx1FGuScEC99NQWD0FDe27uRR4hewcm4D+vWmP+M+FApRLaMnigSTJv0Nr732DWw2BhMcSYEKAFm9enXWbS6//HIyZcqUtMfeeust4nA4SCwWk31OJBIhjY2NaT9Hjx6V3TYcDpOvv/6ahMNhXf+GRCJBEomErucaYQ8aNIjcc889TNhK+uabb8jgwYNJhw4dCM/zpKKigsyaNYvEYjEiJBLk8NdfkwObNpGDW7eSSHOzIsfoMQ8EAiQQCOh6bisJAiFzbyPkKhAy3EbCf1tGj50hqr4JISTwJCEHQchBkOiR6SSQ5Zgb2g1l33vIHvIw+S35DZlJlsWXkIZAAzV2qmj73h0lpPMuQvAVIb3+I5BvGwvjddLYTEjlzwhBH0JOu0Qkn24OUWNniqZ3QRDJbbe9TYDZxGZ7mCxbtpkKN1Un9W3byspKrFmzJu2xDz/8EAMGDFBs5MzzPHieT3vs2LFjTPyRk2Qtpho5nU6MHTsWF154IUpLS/Hvf/8b48ePh5BIYNovfvG/dZwnbtWyknRL3mf0e1SZ7iih718JRKPG2TKi5htoNas2EP81EIuBvmu6vjNn1Q5tGgYBAlgYp+k7c1btWyWNKE0QsDBO03fm5KBV85rQp0IAwGY5CS3vokjwq1+9g6VLt8Nm4/Dqq9fhyis70bCYpoIKz0AggD179iR/r66uxvbt23H66afjzDPPxIwZM3DgwAG8+OKLAIAJEybgmWeewbRp0zB+/Hhs2LABixcvxmuvvaZpv1pabxFCEFd52ySRSAAARIfx0+D0ejWtvUwkEpg8eTJefvll2O123HXXXXjkkUeYrd8866yzcNZZZyV/79q1Kz7+6CN8vHYt7r7++uTkIFvGBxfaotI7VaGtmL2x0ThbQdR6vsosR7E3NdFhy4iWb7nlKEE7mw4cAD3fcstR3EF235bR8i03q/bs7wEA/d7Dkmh4lwvOG288F40Mrs2CCs/NmzdjyJAhyd+l7+1+8YtfYNmyZaitrUVNTU3y7ysqKvD+++/j3nvvxV/+8hd06tQJTz31lKZlKloVD4Uwh+GUayXNCAQ0zUpdvnw5br/9dmzcuBGbN2/GHXfcga5du2L8+PGy269fvz7nMqGZM2di5syZqvb/n1278P6aNRg2eHDarFrpA4VpxaAAQpuJwTrOthCLdZxtIaV1nOw+YtGR0nIUhp8NqUgpOFnJ/K/AFA0ePDjrLUO5lleDBg3C1q1bDe1Xmol3MqlLly6YN28eOI5Dr169sGPHDsybN08xPAcMGIDt27cD+N+I2ZExYk5taq2kSy+9FFu3bkU0GsUto0fjvokTqS9HySZD5zJHcLJ8nRhmZ+nHaWbf2YLTzL6zFUAws+9s6zhZvw8a4ecKThbeCyo886XM70Czyen1YobKtUqp0+ONyplRti7X7deBAwembVNZWYm5c+dCEARZPx6PB927dwdgzPdrr76K/Tt24IsvvsCjTz2F5f/v/2Fm//6qfRuVlnOZJhUjTt1sFTLEztEdxay+c404zeo7V+Ugs/rOVQCBpW8jfDUjThberfBUoWAwqPpLbI7jVI+ipEINSpOXjEhaSkLrOxAat21FQYA3HMZZ5eU4u3NneDt2xMS778b9M2YkfdL2nSlpKrymSQkqb9XqYquUbraKtmJm9K3mVq0ZfaspuWdG32oqB7H0rZev9latlvdwtbLCU4VOxvJ8n3/+eavfe/TooRhaqbdtlUae2W7bytWqtX/5JeLxeNqteNa9UzWfSw3fcZquvJjK7zjN5lvtd5xm8622Vq3ZfKstucfStx6+lu84WXi3wlOFAoEAvAa7eciJ5SgrF3v//v2YNm0a7rzzTmzduhVPP/005s6dq8hLvW2rdcQsCgKenTsXnCDgnJ490aFXL3z6/vuYMWMGbrzxxrTvTlmPPKXyX6rOp8bJQZrYGqWZrWFykJl8a5kcZCbfWoq8m8m3llq1LH1r5WudHMTiPdwKTxU6GUeeY8eORTgcxsUXXwy73Y67774bd9xxBxV2qqQRJxIJLHjpJVR/9x0IIejatSsmTZqEe++9Vzdbj1SfSx2zak0zotA4q9YsvrXOqjWLb63dUcziW2uRd7OMPPXMqrVGnnnSyTbyrKqqSv554cKFVNlp26Xcqh01fDhuv+eenN8Hm2LkqXM5iilGFDqWo5jBt57lKGbwraetmBl86+mOYoaRZ2pw2u0cXnlF3XIUa+SZJ52MI0/WbL39OPM+8mxVAEH9Os68jyh0ruPMt2+96zjz7VtvP858+9bbVizfI0+9wamGrUcnfWF4GgqHw0y4hBBmZfTyyTbSyJqlb6DlXCqeT4XKQVTYBpWTbaAAQj59GymAkE/fRhpZ59O3kX6cLH3n4hsJTolNW9bIU4VYLCUB2K5pzBfbSHDmYtOQ4rk0GJxZ2RSUlW2wclC+fButHJQv30aCMxfbqLKxjTayZuk7G99ocGZjG5EVnirEqm2Y2Yq3G2UbDc5sbFqSPZcUglORTUmKbAol9/Lhm0bJvXz4Nhqc2dg0pMQ2GpzZ2LQkx6cRnEpso7LCU4VyvaGzfsMvBNEITjUyeqxbPZ9ScNLwppmdpeSeYTYlybFp1apta980glOJTUtybBrBqcSmqUw+reCUY9OQFZ4qpDTklx4PhULw6GjcfLLctqUZnLl8S41+9d6GSXsexeA04kkXW0XlIN1sispk0yzy3pa+aQWnHJumMtm0glOOTVupfJrBmcmmJSs8VSgcDsvO1rLb7SgtLcXhw4cBtEyx1hJaLMvztRVbFAQ07N2LRDgM2Gwo7doVot2OSCRimJ0qQghCoRAOHz6M0tJS3UtZpIkDfq+XanCmsRnM7EtjUwzOVmzKSmXT7o7SVr5pBmcmm7ZS2TSDM5PNQhLf6/VRDU6JTdt3wYXnggUL8Kc//Qm1tbXo27cv5s+fj8svv1x226qqqrQWZpJ27tyJ3r17q95ntpqIHTt2BIBkgGqRdB+exfKMtmBzAIKHDyMRjYKz2eAvK0Pw0CEqbCXfpaWlyWOuRz6fj1lbMVY1P9PYlIMzjc1AEptFW7G28E07OFPZLCSxaQdnKpuVfD5fqwIINIJTYtNWQYXn66+/jqlTp2LBggW47LLL8Oyzz2L48OH4+uuvceaZZyo+b9euXSguLk7+3r59e037zbbAluM4lJeXo0OHDslRk1odPXoUAHDGGWdoep4Z2PFgEJ/efz/qtm0DX1KCnyxZgg69elFhA/K+nU6n4eIJgaYmFC2+F1i/gno/TtaL3z3iCwCZ1fIAxX6crH3vd9bgPe8a6v04WfuuFuy4vtlLNTglNsDOd3OQw62zvFSDU2ID7IokNDU14957q7BixTfU+3GyKJLAkQKa7XLJJZfgwgsvTKuK06dPH4waNQpz5sxptb008jx+/DhKS0t17zcUCjF5wUjf3xUa+3hdHd4cNQoHN26E+7TTMPbvf0f5hRdSYbP0DVFE4olxcHz0EpNG1iy9x47PhSsyveUXyo2sWfr+OvIV3uTfQIKj38iape8djWEMr+NxQLBRDU6Are+6wyGMmsJj4xd2qsEJsPUtigTjxr2Fl176kkkjaxbv4QUz8ozFYtiyZQseeOCBtMeHDh2Kzz77LOtz+/Xrh0gkgnPOOQcPPvig7K1cSdFoFNFoNO2x6upq9OjRA4FAAH6/H4FAAD6fD9FoNDkSEgQBPM8jGAwmt0n9fzgcbvmOUBRBCIHT6cSBAwfgdrvh8XjStg2FQuB5HolEAhzHwW63IxqNwuv1tuIGg0F4PB7E43HYbDZwHId4PI5AIIBQKISuXbvK+nY4HCCEJH2HQiH4fD5Z3y6XC4IggBACMRzGa1dfjaPbt4MvLcUNa9bA3rkzQqGQLt+xWAx2u12V70gkAqfTqcu3026H45kJcH/yGojNjtjUJWjsMwT+E77dbjfi8XjSdywWg8fjkfXt9XqT517y7Xa7UVNTA6/Xm3Y+5Xy7XC6Ew2FZ39IxlHw7HA5woWfgF1tavcX56Tgevgd+Rzjt3OvxnUgkwPM89u/fD4/H0+p1KL1mCSEQRRFOp1OT7z3ibrxT9DYETsDZQndccfTHiPljOB48nubbZrMhHo/L+s52rdH2DbTMY9gZjGPU8WLUEht6O0W84T+KopgP9cflrzXavlPfI3L5Tr3WjhyL4fppPmzdacdpxQRvPHEcvbu5UV+vz3fme0Q232nXmkbf4XAE06d/kgzOhQt/jJEjz0J9fb3se4Tb7ZZ9n832HiG9p9BUwVQYOnLkCARBQFlZWdrjZWVlqKurk31OeXk5nnvuOaxatQpvvfUWevXqhSuuuAKffPKJ4n7mzJmDkpKStJ+lS5dS/bdI8nq9zL5H8Pl81D9pRZuasGr06GRwjly5EmX9+lHdBwvfEEXwCyclg/PIL+dD+MH1dPcBNufTGVuYDM5GYSLi/GxqI05JLHzvs+/FO8VvQ7AJ6BI6E6OjY2Cn/Fmdhe9v4xxGN5SgljjQnYvh/Y4RdLDRvTnHwndTALhxejG27nSjxC9gzYIIzuuZoLoPFr5FkWDq1I+Swblo0ZUYNao71X0AbL7zLJjbtgcPHsT3vvc9fPbZZ6isrEw+/thjj+Gll17CN998o4ozcuRIcByHd955R/bv5Uaezc3N+N73vqffvIKOHDkCAGjXrp3p2dGmJrw8bBi+27ABfGkpfvLmm+hzxRVU2KmifkwyJgc1TVyI2MDRBXHMUwsghGz3IGSbhXYav69XI9q+UycHdYtVYETTNejYTv8kLyXR9p06OainPYG3ShvRt4z+nAHavlMnB5UWiXjzz4244rLTqLBTRdt35uSgRYuuxOjRPZhdm7S5BXPbtl27drDb7a1GmYcPH241Gs2mgQMH4uWXX1b8e57nwfN82mOs1kxm7ses7NTgdJ92Gsb89a8ou+ACavxUUT0mMrNquQtHgNVRp+o9rXLQTAi4H3wBvA4zZ9VeHR0JB8/mbYam78xZte+0i6DM7qLGTxVN35mzav/6dBgX9Db/8ZZrKzZiBN3bqqli8V5bMLdtXS4X+vfvj7Vr16Y9vnbtWlx66aWqOdu2bUN5ebmmfScSdG9/pHLNzs4MzrF//zvOOPdc0/tWWo5SCMc8MzhR9CgSgmB633LLUZAw//WTGZwfdQPOIHHT+5ZbjnJu95jpfWcWQJAmB7G+NmmrYEaeADBt2jTceuutGDBgACorK/Hcc8+hpqYGEyZMAADMmDEDBw4cwIsvvggAmD9/Prp164a+ffsiFovh5ZdfxqpVq7Bq1SpN+2U18jR7hSG54Cy/8EI0NDQYN6ggKsckS1sxsx9zueAEx5net9I6TrP7lgvOjg6gweS+ldZxNjSY23e2ykFmf61kqqDC88Ybb8TRo0fxu9/9DrW1tTj33HPx/vvvJ2dR1dbWoqamJrl9LBbD9OnTceDAAXg8HvTt2xfvvfceRowYoWm/rBozs+LSYCsFJw12Nhlm5yi5Z2rvCsFJhZ1FRtnfYg9ewUuy6zjN7DtbAQQz+85WAMHMvnOV3DOzdzkVzIShfIrFl80SFzDfhKFswWmUnUuG2Cpq1ZrWe5bgNMzOISPsbMFplJ1LRti5KgeZ1XeuykFm9a2mVi1r76fshKF8ilVFDVZcI+xcwWmErUa62SqLvJvSe47gNMRWIb3sXMFphK1GetlqSu6Z0beakntm9K22yLsZvWeTFZ4qxKK0k8QF2JXp0spWE5x62Wqli62hO4rpvKe1FZMPTt1sldLDVhOcetlqpYettlat2XyrrVVrNt9auqOw9n7KVhjKp1h1EWDF1cNWG5x62Fqkma2xrZipvLcq8i4fnLrYGqSVrTY49bC1SCtbS5F3M/nWUuTdTL61thUzk3c1ssJThU72kaeW4NTK1ipNbB39OE3jXWN3FLP41hKcWtlapYWttTuKWXxr7Y5iFt96+nFaI8+TUCfzyFNrcGph65Fqts62YqbwrqOtmBl8aw1OLWw9UsvW01bMDL71tBUzg2+9bcXM4F2LCqZIQj4VDAaZcfPJ1hOcatl6pYptoB9n3r3r7MeZb996glMtW6/UsPX248y3b739OPPtW65ykNruKKy905Y18lQhj8dTUFw1bL3BqYZtRDnZBhtZ59W7gUbW+fTdUgBBe3CqYRtRLraRRtb59G2kkXU+fRsJTjV8I2LB1hyeu3btwmuvvYb169dj7969CIVCaN++Pfr164errroKY8aMYVqzNR/S2uQ639xcbCPBmYttVFnZBoMzJ9+gsrINBGdOtkFlYytVDqLBNqpsbCPBmYttVNnYRoIzF9uosrGNBmcuvlGxYKu+bbtt2zZceeWVOP/88/HJJ5/goosuwtSpU/HII4/g5z//OQghmDVrFjp16oQ//OEPrTqTFLJsNjZ3t202W5uzjQZnNjYNKbIpBGdWPgUpsoNPGQrOrGwKUmIbDc5sbBpSYhsNzmxsGlJiGw3ObGwaUmLTCM5sfBpiwVX9kho1ahT+7//+D6+//jpOP/10xe02bNiAefPmYe7cuZg5cyYVk/nWyVLblkZwKrFpSZZNKTgV+ZQky04rgKAvOBXZlCTHphGcSmxakmPTCE4lNi3JsWkEpxKbluTYtIJTiU9Lea1tu3v3brhcuVv0VFZWorKyErFYzJAxM+lkuG1LKzjl2DTVik0xOGX5FNWKTSk4ZdkUlcmmFZxybJrKZNMKTjk2TWWyaQWnHJumMtk0g1OOT1Ms2KpfWmqCEwBCoRC8Xq/q7QtBhT5hiGZwZrJpK41NOThb8SkrjU0xOFuxKSuVTTM4M9m0lcqmGZyZbNpKZdMMzkw2baWy9azj1MKnLRZsXTeCBw8ejO+++67V4xs3bsQFjJokS1qwYAEqKirgdrvRv39/rF+/Puv269atQ//+/eF2u3HWWWdh0aJFmvcpLd6lrUAgwJxNOzhT2SyUZGdpK0aFz0BJNuXgTGMzkMSmHZypbBaS2LSDM5XNQhKbdnCmsllIYrMIzlQ+C7Hg6grP4uJinHfeeVixYgUAQBRFzJ49Gz/84Q9x7bXXUjWYqtdffx1Tp07FrFmzsG3bNlx++eUYPnx4WhuyVFVXV2PEiBG4/PLLsW3bNsycORNTpkzR3M+TZZEElmynKFIPTonN9Jh4vZorB2niM/Re6nyRenBKbJa+jxTXUw9Oic3S9yG+iHpwSmyWvkX4qQenxGbp2+v1MQlOiV9QBWmITi1cuJD4fD7ys5/9jFRWVpLvfe97ZO3atXpxqnTxxReTCRMmpD3Wu3dv8sADD8huf99995HevXunPXbnnXeSgQMHatrvoUOHtBnVwGXF3r9nD1k4YACZDZDfn3YaObhlCzU2S9+HamtJ6NGbCLkKhAy3EVK1gi6fofem2kcJOYiWn8YZhIgiNTZL35uPbSKzxd+Q35CZ5CWynMRJnBqbpe/PDx4hnXYmCL4ipM9uQuro2Wbqe89/D5MB18cI+hBy2iWEbPmKHpul79raOnLTTSsIMJvY7Q+TFSt2UOUzfV9hwNX9GW3ChAnYt28f/vCHP8DhcKCqqgqXXnopxVhPVywWw5YtW/DAAw+kPT506FB89tlnss/ZsGEDhg4dmvbYVVddhcWLFyMej8PpdLZ6TjQabbXMpqGhAX6/H4FAIPl/n8+HaDSabLIqCAJ4nkcwGGy1rd/vRzgchtPphCiKIITA6XQiGo3C4/Hg8OHDaduGQiHwPI9EIgGO42C32xGNRuH1eltxg8EgPB4P4vE4bDYbOI5D8NgxvPezn+HQ5s1wn3YarnnjDZT07o3Dhw8nfTscDhBCkr5DoRB8Pp+sb5fLBUEQmPiOxWKw2+3gOA7xaBTFS6bBvX4FiM2OpgkL4LxoJAInfEciETidTt2+I5EIbDYbgsEgQqFQmm+32414PJ70HYvF4PF4ZH17vd7kuec4DvF4HH5uCYrIgwCAIDcFnH0WAvX1sr5dLhfC4bCsb+kYSr4dDgei0ais79Rzr8d3IpFArecg3i15BwInoFu0AtcKo3AscCztNUsIgSiKcDqdTHzbbDbE43FZ30rX2nc2N0Y3lKCW2NHTnsB7ZTFwxwIIGfANIPmazeVbuta0+o7GedwwvRhbdzpRWiRizYIoOrdrRigk/x6Ry3fmtUbTd+p7hNPpwpQp/8DKlbtht3NYsuQaDBnSAaFQSPZa0+rb6/UmnyO9r8i+R8TjcLvdsu+z2d4jWCxV0UU8fvw4xowZg4ULF+LZZ5/FDTfcgKFDh2LBggW0/SV15MgRCIKAsrKytMfLyspQV1cn+5y6ujrZ7ROJRLLxaqbmzJmDkpKStJ8nn3ySzj8iQ6FQiHrZqGhTE9654QbUbdoEV3ExblizBu3PO4/qPlj4hijC98JUuD95DcRmR2zqEkQHjqK7DyD5xkJTbuF58NH7AACNwkQEuZlUbtWmioXvGsc+rHKvhGAT0CV0JoY3jqByqzZVLHz/N2HDiENu1BIHunMxrCo5jjI71V0w8d0UBEZPcWPrTh4lfgEr5zagX29CdR8sfIsiwaRJf0sG54IFP8b11/emug+A0fvKCTHh6hmudurUiVx22WXkv//9b/KxFStWkNNPP52MGDHCwEBYWQcOHCAAyGeffZb2+KOPPkp69eol+5wePXqQxx9/PO2xTz/9lAAgtbW1ss+JRCKksbEx7efo0aN0/hEZCgQCJBAIUONFGhvJC5WVyVu13376KTV2qmj7JoJAyNzbCLkKRBxuJ+G/LaPHzhB174Gnkrdqo0emk0BzMz126m4o+95DdpOHyW/Jb8hMsiy+hDQEGqixU0Xb9+4oIZ13EYKvCOn1H4F820jxXKaItu/GZkIqf0ZO3KoVyaebQ9TYqaLtWxBEctttbydv1S5btpkaO1PUr80MNm3pGnlOmDABn3zyCSoqKpKP3Xjjjfj3v//NbH1nu3btYLfbW40yDx8+3Gp0Kaljx46y2zscDpxxxhmyz+F5HsXFxWk/rCR3i1g3K2NW7U9WrUJpnz5U2K32RdF35nKU4KRnERowkg5bRlS9Z5TcC+ABRBm9/mn6zizyPrzpaghRgQo7UzR9Z86qfbu0EaUJNpXMaPrOnFW7al4T+lSEqbAzRdN35qzaZ58dipEjK3I/UaeoXpsybNrSFZ6/+c1vZO8hd+7cGWvXrjVsSk4ulwv9+/dvxV+7dq3id62VlZWttv/www8xYMAA2e87leRwsKmf73A4qLDllqN06t/f9L7l1nGKl/+UmW+AoneZknsOp9P0x1yuO4rb4Ta9b7nlKJ14u+l9yy1H6d+XM71vubZiP/3pOYVxbSqwaUt1eCotB1HSgQMHNJvJpWnTpuGFF17AkiVLsHPnTtx7772oqanBhAkTAAAzZszA2LFjk9tLk5qmTZuGnTt3YsmSJVi8eDGmT5+uab+E0P1eIpVrlK20jpMGW0lU2AoFEFj6Bih5V1jHafZjrtRWzOy+ldZxmt230jpOs/tWqhxUENdmFjZtqQ7Piy66COPHj8e//vUvxW0aGxvx/PPP49xzz8Vbb71FxWCqbrzxRsyfPx+/+93vcMEFF+CTTz7B+++/j65duwIAamtr00K+oqIC77//PqqqqnDBBRfgkUcewVNPPYUxY8Zo2q80E4+2BEEwxM5WAMEoO5sMs7NUDmLpmwo/SwEEMx/zbG3FzOw7WwEEM/vOVgDBzL6zldwz/bWZg01bHFEZyceOHcPjjz+OJUuWwOl0YsCAAejUqRPcbjeOHz+Or7/+Gl999RUGDBiABx98EMOHD6duNl8KBoPw+XxMuAB0sXNVDjLCziVD7Bwl91j6NszPUTnIrMc8V+Ugs/rOVTnIrL5zVQ4yq+9clYNMfW2qYNPmqh55fvfdd/jDH/6AgwcPYtGiRejZsyeOHDmC3bt3AwBuueUWbNmyBf/85z9PquAEQH3qdypXD1tNyT29bDXSzVZRco+lb0N8FSX3zHjM1ZTcM6NvNSX3zOhbTck9M/pWU3LPtNemSjZtqf4WtV+/fqirq0P79u3x61//Gps2bVKcsXqyidUnLRYjTiNstTI+4lQuucfSt26+ylq1ZjvmamvVms232lq1ZvOttlat2XyrrVVrymszj2zVI8/S0lL897//BQDs3bsXoihSN2NWmaUwvJYi721SAF2tVAanLrZGaeZrKPJupmOupci7mXxrKfJuJt9airybybeWIu+muzY1smlL9chzzJgxGDRoEMrLy8FxHAYMGJAsO5UpKWRPFpmhWLHW7iisPGtmawhOzWwd0sTX2B3FLMdca3cUs/jW2h3FLL61dkcxi2+t3VFMdW2agK06PJ977jlcd9112LNnD6ZMmYLx48ejqKiIuiEzKhAIwOv1MuECyMnW01ZMLVuPVLM1Bqcmtk6p5utoK2aGY66nrZgZfOtpK2YG33raipnBt562Yqa5NnWyaXM1rRwdNmwYAGDLli245557TpnwzOfIU28/zrx/itMRnKrZBqSKr7MfZ76Pud5+nPn2rbcfZ7596+3HmW/fevtxmuLaNBFbV4WhpUuXnjLBCQDhMJtSWuFwOCvbSCPrXGwjysnWGZyq2AaVk2+gkXU+j7mRRtb59G2kkXU+fRtpZJ1P30YaWef92jTIpi12tZZOIrlcrjbnGgnOXGyjysrOsY7TEJuCsvINBGdOtkFlYxsJzlxso8rGNhKcudhGlY1tJDhzsY0qG1uu5J6WRtZ5vTZNyLbCU4XauuqF0eDMxqYhRbbB4MzKpiRFfvBpQ8GZlU1BSmyjwZmNTUNKbKPBmY1NQ0pso8GZjU1DSuxslYOMsmkpL+9ZBmSFpwq1Zb1FGsGpxKYlWTaF4FRkU5QsP6M7ip7gVGRTkhybRnAqsWlJjk0jOJXYtCTHphGcSmxakmPTCE4lNk21+XuWQVnhqUJaOrAY4dIKTjk2TbViUwpOWTZlteJTCk5ZNkVlsmkFpxybpjLZtIJTjk1TmWxawSnHpqlMNq3glGPTVpu+Z1GQrglDp5ra4st9msGZyaatNDbF4GzFZqA0vkxbMb3B2YpNWalsmsGZyaatVDbN4Mxk01Yqm2ZwZrJpK5VNMzgz2SxUaBOGCiY8jx8/jltvvRUlJSUoKSnBrbfeioaGhqzPGTduHDiOS/sZOHCg5n2zLM/n8/moB2cqm4WSbMrBmcZmpCTf4OSgrGwGkti0gzOVzUISm3ZwprJZSGLTDs5UNgtJbNrBmcpmJdbHhbYK5rbtzTffjO+++w4ffPABAOCOO+7ArbfeijVr1mR93rBhw7B06dLk73pmXbEskhBrbsbfbr2VanBKbIDhQmxRhHfRZKrBmWSD7UJsj/g8QB5seYBScEpsgN0x3++swXveNVSDU2ID7HxXC3Zc3+ylGpwSG2DnuznI4dZZXqrBKbEBdr5FkWDy5LVUg1NiA1aRBEkFEZ47d+7EBx98gM8//xyXXHIJAOD5559HZWUldu3ahV69eik+l+d5dOzY0dD+WS3edYoi/nrLLTi4cSPV4AQYLzj2euFaMBH46CWqwQmwX4hd6nwRrgj94ATYej9SXI/3ePrBCbD1fYgvwpg6HgcEusEJsPUtwo9bZvDY+AXd4ATY+vZ6fZg48QO89NKXmtdx5pJVJCFdBRGeGzZsQElJSTI4AWDgwIEoKSnBZ599ljU8q6qq0KFDB5SWlmLQoEF47LHH0KFDB8Xto9EootFo2mPV1dXo0aMHAoEA/H4/AoFAy+3WaDRZ31cQBPA8j2AwmNwm9f/hcBhOpxOiKIIQAjEcxmtXX42j27eDLy3FDWvWwN65c7ItD8/zSCQS4DgOdrsd0WgUXq+3FTcYDMLj8SAej8Nms4HjOMTjcQQCAYRCIXTt2lXWt8PhACEk6TsUCsHn88n6drlcEAQBhBA47XYIc2+Dd+NbIJwNsalL0NhnCPw6fcdiMdjtdlW+I5EInE6nPt9OJxB8Cn5xFgAgzk/H8fA98DvCCIVCcLvdiMfjSd+xWAwej0fWt9frTZ57ybfb7UZNTQ28Xi88Hk9W3y6XC+FwWNa3dAwl3w6HA3vE3Xin6G0InICzhe644uiPEfPHcDx4PHnu9fhOJBLgeR779++Hx+NJ8536miWEQBRFOJ1OTb53BuMYdbwYtcSG3k4Rb/iPoijmQ/3xYJpvm82GeDwu6zvbtUbbNwDY7XYcORbD9dN82LrTjtOKCd544jh6d3Ojvl7+WqPtW3qPUOM79VoLhyOYPPlDrFy5B3Y7hwULfoyRI89CfX29Lt+Z7xHZfGdea1p8S+8R+/btS7t+lN4j3G637PtstvcI6T2FpgriO8+6ujrZwOvQoQPq6uoUnzd8+HC88sor+OijjzB37lxs2rQJP/rRj1qFY6rmzJmT/F5V+km97UtD0aYmrBo9OhmcI1euRFm/flT34fP56N/+EEXwCyeh5ERwNt21EMIPrqe6Cya+AThjC5PB2ShMRJyfTW3EKcnr9VL/bmWffS/eKX4bgk1Al9CZGB0dAzvlz7wsfH8b5zC6oQS1xIHuXAzvd4ygg43ucgEWvpsCwI3Ti7F1pxslfgFrFkRwXs8E1X2w8C2KBFOnfpQMziVLrsGoUd2p7oOF77biM+GSPOqhhx4iALL+bNq0iTz22GOkZ8+erZ7fvXt3MmfOHNX7O3jwIHE6nWTVqlWK20QiEdLY2Jj289133+n698nyGxvJC5WVZDZA5pSWkq///ndq7FTV19eT+vp6ekBBIGTubYRcBSIOs5HGNc/RY6eIum9CCAk8SchBEHIQJFh3D6k/fJgu/4Roe99D9pCHyW/Jb8hMsjj6PKmtr6XGThVt37ujhHTeRQi+IqTnN3Hy1aEj1Nipou27sZmQyp8Rgj6ElF4skL9/eowaO1W0fQuCSG677W0CzCZ2+8Pkuec+o8ZOFZNrs434LLh5vW07efJk3HTTTVm36datG7744gscOnSo1d/V19ejrKxM9f7Ky8vRtWtX7N69W3EbnufB83zaYxylEUrmrNoxf/0ryi64gAo7U5n/BkPKqFUbmbIY3GVj6PFTRNU30GpWrYAHwFMecUqi6T1zVu3V0ZFw8GwuV5q+M2fVrmkXQQc7m7JrNH1nzqr969NhXNDb/Mc7s1btCy+MwJgxyl9jGRH1a7MN+SzYeQ3Pdu3aoV27djm3q6ysRGNjI/71r3/h4osvBgBs3LgRjY2NuPTSS1Xv7+jRo9i/fz/Ky8s1+UwkjN+2kVuO4q6ooMKWEzWuTJH3yHlDAbP7BmRL7iVyLG8yIlre5ZajNCeakYC5j7ncchRXc5zVS4Wab7nlKBXlMdP7livyPnTo98z/npIHPgt2QXzn2adPHwwbNgzjx4/H559/js8//xzjx4/HNddckzZZqHfv3li9ejWAlqnJ06dPx4YNG7B3715UVVVh5MiRaNeuHUaPHq1p/0ZHnkrrOKW1pyxEha3QHcX0vgHFykFm9660jtPsvpXWcZrdt9I6TrP7VuqOYnbf+eKz4BbEbFsAeOWVVzBlyhQMHToUAHDttdfimWeeSdtm165daGxsBNAya27Hjh148cUX0dDQgPLycgwZMgSvv/665nZq0mw5PcpWAMEIN5cMs7O0FTO1byBryT0ze89WAMHMvrMVQDCz72wFEMzsO1tbMTP7ziefBbtgwvP000/Hyy+/nHUbklL81+Px4G9/+xuVfUejUV39S3NVDpJm/bLojWqInaNykGl9Azlr1ZrVe67KQWb1natykFl956ocZFbfudqKmdV3vvl638OzqWDCM5/Ss3RCTck9VpU6DLFVlNwzpW9AVZF3M3pXU3LPjL7VlNwzo281JffM6FtNyT0z+jYDnwXbCk8V0lraSW2tWuYl9LSyVdaqNZ1vQHV3FLN5V1ur1my+1daqNZtvtbVqzeZbba1as/k2C/+ULc+Xb2kp7aSlyLupylFpKPJuKt+AprZiZvKupci7mXxrKfJuJt9airybybeWIu9m8m0m/ilbni/fUvupRWt3FNN8StTYHcU0vgHN3VHM4l1rdxSz+NbaHcUsvrV2RzGLb63dUczi22x8a+SZJ6n51KKnrZgpPmnpaCtmCt+ArrZiZvCup62YGXxnBudH3XIXeTeDbz1txczgW09bMTP4NiOfBbsg1nnmW8FgMOvf6+3HGQwGc7L1ShVbZz/OvPsGMoJzpuruKPn2rrcfZ759ywVnRxUfvfPtW28/znz71tuPM9++zcpnwbVGnirk8XgU/85II+tsXKPKyTbQyDqvvgGZ4HxUdZH3fHo30sg6n771BqcathHlYhtpZJ1P30YaWef92jQpnwXbCk8VisViso8bCc5sXBrKym5VAEFbP868+QYMBacqvgFlYxsJzlxso8rGNhKcudhGlY1tJDhzsY0qG9tIcOZiGxVLNms+C7YVniokV53CaHAqcWlJkZ2lcpBhNgVlZRsMzpx8g1Jif4s9eAUvGWpknQ/fWicHaWHTkBLbaHBmY9OQEttocGZj05BVYShdVniqUGZdRBrBKcelKVk2heBUZFOSIptCcGblU5Acm0ZwKrFpSY5NIziV2LQkx6YRnEpsWpJj0whOJTYtsWSz5p/StW3zqXg8nvwzreDM5NJWKzal4JRlU5Qsm1JwKvIpKZNNKzjl2DSVyaYVnHJsmspk0wpOOTZNZbJpBaccm6ZYslnzWbCt8FQht9sNgG5wpnJZKI1NMThbsSmrFTutrZix4JTlU1Qqm2ZwZrJpK5VNMzgz2bSVyqYZnJls2kpl0wzOTDZtsWSz5rNgF8xSlcceewyXXnopvF4vSktLVT2HEILZs2ejU6dO8Hg8GDx4ML766ivN+w4Gg9SDU+Iyn1ZOOTjT2AyUxm5VOchYcLbiU5bEph2cqWwWkti0gzOVzUISm3ZwprJZSGLTDs5UNgtZS1XSVTDhGYvF8NOf/hR33XWX6uf88Y9/xJ///Gc888wz2LRpEzp27Igrr7wSzc3NmvbtFEXqwQm0LNxltTDY7/fD7/VSD84km6Vvv19TyT1dfAby+/04UlxPPTglNkvfh/gi6sEpsVn6FuGnHpwSm6Vvr9dHPTglNvNrk5FYe6etgrlt+/DDDwMAli1bpmp7Qgjmz5+PWbNm4brrrgMALF++HGVlZXj11Vdx5513qt736yNH4tDmzVSDE2BcjqqpCUWL7wXWr9C8jjMnm3EZLY/4AkBmtTxAMTglPsDG+87o13i39B0IEKgGJ8DW947GMK5rLMVBkW5wAmx91x4K4qb7SrH5K7rBCbD13dTUjHvvrcKKFd9QDU7AKs+XjW2V51Op6upq1NXVJZtnAwDP8xg0aBA+++wzxfCMRqPJvnKSpOC85o03UNK7Nw4fPgyfz4doNJqcAi0IAnieRzAYhN/vRyAQSPt/OByG0+mEKIoghMDpdCIajcLj8eDw4cNp24ZCIfA8j0QiAY7jYLfbEY1G4fV6W3GDwSA8Hg/i8ThsNhs4jkM8GkXxkmlwr18BYrOjacICOC8aiUCKb4fDAUJI0ncoFILP55P17XK5IAgCE9+xWAx2u73FdzwOL1kM/4ngDHJTwNlnIVBfD5/Ph0gkAqfTqdt3JBKBzWZDMBhEKBRK8+12uxGPx5O+Y7EYPB6PrG+v15s895LvOm8t3i15BwInoFu0AtcKo3AscEzWt8vlQjgclvUtHUPJt8PhQDQalfWdeu71+E4kEvjO5sbohhLUEjt62hN4rywG7lgAoZTXLCEEoijC6XQy8W2z2RCPx2V9BwIB2WstGudxw/RibN3pRGmRiDULoujcrhmhkH7fAJKv2Vy+k9eaRt9OpwtTpvwDK1fuhs3GYenSazBkSAeEQiHZ94hcvjOvNZq+M98jIpEIvF5vq+te7lrT6tvr9SafI/GV3iPcbrfs+2y29wibjf5N1oK5batVdXV1AICysrK0x8vKypJ/J6c5c+agpKQk7UfkedywZg3an3ceVY+hUIj+vXhRhO+FqXB/8hqIzY7Y1CWIDhxFdRdMfANwC8/DL84EAMT56QhyM6mNOCVJbyw0VeOowSr3Sgg2AV1CZ2J44whqI05JLHz/N2HDiENu1BIHunMxrCo5jjLKy+FY+G4KAqOnuLF1J48Sv4CVcxvQrzehug8WvkWRYNKkvyWDc+HCH+P663tT3QcL35JYXfdtwWfCJXnUQw89RABk/dm0aVPac5YuXUpKSkpysv/5z38SAOTgwYNpj//qV78iV111leLzIpEIaWxsTPvZ+dFHuv59uRQIBEggEKAHFARC5t5GyFUg4nA7Cf9tGT12iqj7JoSQwFOEHAQhB0GiR6YTIop0+dJuKHvfQ/aQh8lvyW/ITLIsvoQ0BBqosVNF2/fuKCGddxGCrwjp9R+BfNtI+XyeEG3fjc2EVP6MEPQh5LRLRPLp5hA1dqpo+xYEkdx229sEmE1stofJsmWbqbFTxeTabAM2az4Lbl5v206ePBk33XRT1m26deumi92xY0cALSPQ8vLy5OOHDx9uNRpNFc/z4Hk+7bE45RGnpEgkAgDw+XzGYRm1agMTFyHW/xqwmPxN1TeQNjkoZJuKMLkfZzBaME3Te2bJvSsbr0ICCYDSYUkVTd+Zs2pXFTegJE7AwjhN35mzat/8cyN6dxMA0K9bStN35qzaZ58dimuu6WaYKyfq12YbsVnzI5EIdW5ew7Ndu3Zo164dE3ZFRQU6duyItWvXol+/fgBaZuyuW7cOf/jDHzSxnE4nC4v0uDJF3km/4WDjmvLxyGgrliD3w8mw0ggt73K1akNONrfLAHq+5ZajeELs3gZo+ZZbjtK9sw2svnmi5VtuOcrw4WdSYcuJ1XsVazZrPgt2wXznWVNTg+3bt6OmpgaCIGD79u3Yvn17coYWAPTu3RurV68G0FKOaerUqXj88cexevVqfPnllxg3bhy8Xi9uvvlmTfsmhO73Kalcw2yF7ihU2Aqixpbpx0nA7ngDdLwrFXk3+zFXWsdpdt9K6zjN7ltpHafZfeeDzZrPglsws21/+9vfYvny5cnfpdHkxx9/jMGDBwMAdu3ahcbGxuQ29913H8LhMCZOnIjjx4/jkksuwYcffoiioiJN+5Zm4tGWYW6WtmKsPFNjKzSyZukbMO49W3cUMx/zbAUQzOw7WwEEM/tODU67ncMrr/xvOYqZfeeLzZrPgs0Rlh8lThIFg0Em9+GlGWC62DkqBxli55BhtkJwUmHn2rUBfq62YmY95rkqB5nVd67KQWb1nS04jbJzqVDZrPks3sML5rZtPsVy6rcutoqSe7rZKmSInSU4DbNVSC+/peRe9n6cZjzmakrumdG3mpJ7ZvSdKziNsNWoUNms+Sy4BXPbNp9i9UmLxYjTEFulWIw4DbNVSt+IU12tWrMdc7W1as3mW22tWrP5VhOcetlqVahs1nwWbCs8VYhFaSeJC2goR5XlO07DbA3SxVYRnLrZGqSVr6XIu5mOuZYi72byraXIu5l8qw1OPWwtKlQ2a75Vni9PMkWxYg3BqZmtUZrZaW3FsteqZelbK19rdxSzHHOt3VHM4ltrdxSz+NYSnFrZWlWobNb8U7owfD6V95GnxuDUxNYhTWyN3VHM8ulWT1sxMxxzPW3FzOBbT1sxM/jWGpxa2HpUqGzWfGvkmSfldeSpIzhVs3VKNVtHWzEzfLrV248z38dcbz/OfPvW248z3771BKdatl4VKps1nwXbmm2rQuFwmBk3K1tncKpiG5AqdvApXf04WfpWwzfSyDqfx9xII+t8+jbSyDqfvjMLIKgNTjVsIypUNms+C6418lQhl8vV9lwDwZmTbVA52SonB+liG1Q2vpHgzMU2qmxsI8GZi21U2dhGgjMX26iysZUqB9FgG1WhslnzWbCt8FShNq8wZDA4s7IpKCvbQHDmZFOQEr+lAIL+4MzGpiElttHgzMamISW20eDMxqYhJbbR4MzGpqFCZbPms2Bb4alCbVpvkUJwKrIpSZFtMDizsilJjp+rcpARNi3JsWkEpxKbluTYNIJTiU1Lcmy933GqYdNSobJZ80/p2rb5VJt1VWlVAEFfcMqyKUqWTSE4FdkUlcmnFZxybJrKZNMKTjk2TWWyaQWnHJumMtm0glOOTVOFymbNP6W7quRTUp85FtwkW2XlIF1symrFphScsmzKSuXTDM5MNm2lsmkGZyabtlLZNIMzk01bqWyawZnJpq1CZbPms+AWTHg+9thjuPTSS+H1elFaWqrqOePGjQPHcWk/AwcO1LxvVuuavF5vC5tycKaxGSiNTTE4W7EZSOLTDs5UNgtJbNrBmcpmIYlNOzhT2SwksWkHZyqbhQqVzZrPglswt21jsRh++tOforKyEosXL1b9vGHDhmHp0qXJ3/XMumJaJEEU4V00mWpwJtlgvFiavEA1ONPYDBdi73fW4D3vGqrBKbEBdse8WrDj+mYv1eCU2AA7381BDrfO8lINTokNsPMtigSTJ6+lGpwSGyi8QgZWkYR0FUx4PvzwwwCAZcuWaXoez/Po2LGjoX0zK5Lg9cK1YCLw0UtUgxNgv+DYEV0ANP1fywOUglNis9SR4nq8x9MPToCt90N8EcbU8Tgg0A1OgK1vEX7cMoPHxi/oBifA1rfX68PEiR/gpZe+pBqcQOEVA2gLNmu+VZ5Ph6qqqtChQweUlpZi0KBBeOyxx9ChQwfF7aPRKKLRaNpj1dXV6NGjBwKBAPx+PwKBAHw+H6LRKOx2O4CWqdA8zyMYDCa3Sf1/OByG0+mEKIoghMBpt0OYexu8G98C4WyITV2Kxj5D4D/RlofneSQSCXAcB7vdjmg0Cq/X24obDAbh8XgQj8dhs9nAcRzi8TgCgQBCoRC6du0q69vhcIAQkvQdCoXg8/lkfbtcLgiC0OLb6USwfg7K3I8DAOL8dBwP3wO/I6zLdywWg91uV+U7EonA6XTq9v0fYRfWFP0VAifgbKE7rjj6Y8T8MTSEGuB2uxGPx5O+Y7EYPB6PrG+v15s895Jvt9uNmpoaeL1eeDyerL5dLhfC4bCsb+kYSr4dDgd2BuMYdbwYtcSG3k4Rb/iPoijmQ/3x/517Pb4TiQR4nsf+/fvh8XjSfKe+ZgkhEEURTqdTk+8jx2K4fpoPW3facVoxwRtPHEfvbm7U16f7ttlsiMfjsr6zXWu0fQOA3W5HOBzB5MkfYuXKPbDbOSxY8GOMHHkW6uvrZa812r6T7xEqfGdea8FgsNX1o/Qekct35ntENt+Z15pW316vF/v27Uu7fpTeI9xut+z7bLb3COmY0FTBfOepR8OHD8crr7yCjz76CHPnzsWmTZvwox/9qFU4pmrOnDkoKSlJ+0m97UtFogh+4SSUnAjOprsWQvjB9VR34fP5mNz+cMYWJoMzyE1BnJ9NZcQpiZXvvfZqrCn+KwSbgC6hMzE6OgZ2yp8dvV4v9dZH38Y5jG4oQS1xoDsXw/sdI+hgozvtnoXvpgBw4/RibN3pRolfwJoFEZzXM0F1Hyx8iyLB1KkfJYNzyZJrMGpUd6r7YOFbEqvrB2DrmzWfCZfkUQ899BABkPVn06ZNac9ZunQpKSkp0bW/gwcPEqfTSVatWqW4TSQSIY2NjWk/3333na79yUoQCJl7GyFXgYjD7aRxzXP02Cmqr68n9fX1dKGBJwk5CEIOggTr7iFEFOnyCRvfe8hu8jD5LfkNmUkWR58ntfW1VPmSaHvfHSWk8y5C8BUhPb+Jk68OHaHGThVt343NhFT+jBD0IaT0YoH8/dNj1Nipou1bEERy221vE2A2sdkeJs899xk1dqqYXJsFzmbNZ8HN623byZMn46abbsq6Tbdu3ajtr7y8HF27dsXu3bsVt+F5HjzPpz1ms1EaoGcUQIjesxi2y8bQYWfI7XbTBaa0FYu5fg3R9RDVEack2r4zS+5dE7sWDjeblz1N75mzat9tH0UHO5/zeXpE03fmrNp3nonggt5s1u/R9J1ZOWjJkhEYM6Y3NX6qqF+bJwGbNZ8FO6/h2a5dO7Rr167N9nf06FHs378f5eXlmp4Xj8eN71ymclD4vKEADbaMqHiWlNEdJZiYDiTo3oKTRNO3XMm95ngz4jD3MZdbjuJqjiEuUsG3Ei3fcstRKsqjrF7i1HzLldwbOvR7dK+hFLHiFjKbNZ8Fu2C+86ypqcH27dtRU1MDQRCwfft2bN++PTm9GQB69+6N1atXA2iZmjx9+nRs2LABe/fuRVVVFUaOHIl27dph9OjRmvbNGR1hKZTck9aeshA1tkxbMe7EpAMWouVbaR2n2Y+50jpOs/tWWsdpdt9KtWrN7vtkY7Pms+AWzGzb3/72t1i+fHny9379+gEAPv74YwwePBgAsGvXLjQ2NgJomTW3Y8cOvPjii2hoaEB5eTmGDBmC119/HUVFRZr2Lc2W06UstWoNcXOICluhAILZfWcrgGBm79kKIJjZd7YCCGb2na3Iu5l9n4xs1nwW7IIJz2XLluVc40lSiv96PB787W9/o7LvWCym74k5irzr5qqQYXaWykFm9p2rcpBZveeqHGRW37kqB5nVd67uKGb1fbKyWfNZsAsmPPMpj8ej/UkquqPo4qqUIXaOkntm9a2m5J4ZvaspuWdG32pK7pnRt5q2Ymb0fTKzWfNZsK3wVCHNpZ1UthUzZSktFbVqzehbba1as3lXW6vWbL7V1qo1m2+1tWrN5vtkZ7Pmn9Ll+fIpTaWdNLQVM105KpVF3s3mW0uRdzN511Lk3Uy+tRR5N5NvLUXezeT7VGCz5lvl+fIk1Z9aNHZHMdWnRA3dUczkW2t3FLN419odxSy+tXZHMYtvrd1RzOL7VGGz5lsjzzxJ1acWHW3FTPNJS2NbMbP41tNWzAze9bQVM4NvPW3FzOBbT1sxM/g+ldis+SzYBbPOM58KBoPZN9DZjzMYDOZm65Rqto5+nGbwrbcfZ7696+3HmW/fevtx5tu33n6c+fZ9qrFZ81lwrZGnCmUd7htoZM26sWxOpZTc09JWLN++jTSyzqd3I42s8+nbSCPrfPo20sg636/xU43Nms+CbY08VUixC4uB4JS42Tq8GFFOtkzlILW1avPp20hwquEbUTa2keDMxTaqbGwjwZmLbVTZ2EaCMxfbqCx22/NZcK2RpwrJVqcwGJyKXErKyjYQnDnZBpWNbTQ4c/GNSoltNDizsWlIiW00OLOxaUiJbTQ4s7FpyGK3Pf+UrjCUT7Wqi6hyHadmLkUpsg0GZ1Y2BSmxaQRnNj4NybEzg/OjbtqDU4lNS3JsGsGpxKYlOXZmAQQ9wanEpiWL3fb8U7q2bT6VVpGfUnC24lKWLJtCcCqyKUmOTSs4lfi0lMmWC86OOq+4tvRNKzjl2DSVyVZTOUgvm6YsdtvzWbCt8FShZC84isGZxmWgVmxKwSnLpqhMNs3glOPTVCqbZnBmsmkrlU0zODPZtJXKphmcmWzasthtz2fBLogJQ3v37sXtt9+OiooKeDwenH322XjooYdyFvslhGD27Nno1KkTPB4PBg8ejK+++krz/oPBIPXglLhtMq2cYnC2YlNWKpt2cGbyaUti0w7OVDYLSWzawZnKZiGJTTs4U9ksZLHbnn/KLlX55ptvIIoinn32WXTv3h1ffvklxo8fj2AwiCeeeELxeX/84x/x5z//GcuWLUPPnj3x6KOP4sorr8SuXbs0tSXze73UgxNoo0XBOtZxqmYzkMRmEZypfBby+/34Ns5hxF66wSmxWcnv9zMJTonNSn6/n0lwSmxWsthtzz9ly/MNGzYMw4YNS/5+1llnYdeuXVi4cKFieBJCMH/+fMyaNQvXXXcdAGD58uUoKyvDq6++ijvvvFP1/rknxwPrV1ANToB9OSqP+DxAHmx5gFJwSmyAne/9zhq8511DPTglPsDG+47GMK5rLMVBkW5wAmx91x4K4qb7SrH5K7rBCbD13dTUjHvvrcKKFd9QDU6gcMvcFSqbNd8qz5eixsZGnH766Yp/X11djbq6OgwdOjT5GM/zGDRoED777DPF8JRba1S8fgWIzY6mCQvgvGgkAocPw+fzIRqNJqdAC4IAnucRDAbh9/sRCATS/h8Oh+F0OiGKIgghcDqdiEaj8Hg8OHz4cNq2oVAIPM8jkUiAO9F8OhqNwuv1tuIGg0F4PB7E43HYbDZwHId4PA4veQH+E8EZ5O4BZ5+FQH190rfD4QAhJOk7FArB5/PJ+na5XBAEgYnvWCwGu92e9H2A/w7vFr0DAQK6RStwrTAKxwLH4PP5EIlE4HQ6dfuORCKw2WwIBoMIhUJpvt1uN+LxeNJ3LBaDx+OR9e31epPnPunb7sHohhLUEjt62hN4t0MMtmMBBGV8u1wuhMNhWd/SMZR8OxwORKNRWd+p516P70QigWicxw3Ti7F1pxOlRSLWLIiic7tmhEL/e80SQiCKIpxOJxPfNpsN8Xhc1ncgEJC91pxOF6ZM+QdWrtwNm43D0qXXYMiQDgiFQrp9A0i+ZnP5Tr3WtPjmeR6RSARer7fV9SP3HpHLd+a1RtN35ntENt+Z15pW316vN/kcia/0HuF2u2XfZ7O9R9hs9L+hLIjvPDP17bff4umnn8aECRMUt6mrqwMAlJWVpT1eVlaW/Ds5zZkzByUlJWk/AjjEpi5BdOAoKv4lhUIhJvfi3cJz8IuzAABx/v8Q5GZQGXFKYuW7xlGDd4rehmATcLbQHcMbR1AbcUqS3lho6r8JG0YccqOWONCdi2FVSQO1EackFr6bgsDoKW5s3cmjxC9g5dwG9OtNcj9Rg1j4FkWCSZP+hpUrd8Nu57Bw4Y9x/fW9qe6DhW9JrK4foHB9s+az4HKEELpXiwbNnj0bDz/8cNZtNm3ahAEDBiR/P3jwIAYNGoRBgwbhhRdeUHzeZ599hssuuwwHDx5EeXl58vHx48dj//79+OCDD2SfJzfytK1fCf/Vt6v5J2mSdEJ9Ph9F6P++44y5psN1+h+pBifAxnfqd5xnJ7rjFset1IMToO89dXJQL6eI98siOKuY/m0n2r7Tv+MkWPOXCC7rT79hMG3fmQUQFi++Gr/4RX8q7FQxuTYtdt74wWCQOjevt20nT56Mm266Kes23bp1S/754MGDGDJkCCorK/Hcc89lfV7Hjh0BtIxAU8Pz8OHDrUajqeJ5HjzPpz12dOAosPgqOxKJAKD4YkkJzpDtXoTJ/TiDweJg2r6/xR68gpeQQAIVsbMwrHkEHGeweWnS9J45q3ZVcQNK4gQA/fCk6TtzctCbf25E724CAPrhSdN3ZnAuWjQU11zTzTBXTtSvTYudV34kEjm5wrNdu3Zo166dqm0PHDiAIUOGoH///li6dGnOe9gVFRXo2LEj1q5di379+gEAYrEY1q1bhz/84Q+afDqdTk3b54WbNqt2JhLkPjgZVeyg6Ts1OHuiF0ZEroHDye5lScu7XMk9T8j8vuVm1XbvbAOrb3Bo+ZYruTd8+JlU2HJidc1b7PzwWbAL4jvPgwcPYvDgwejSpQueeOIJ1NfXo66urtV3l71798bq1asBtJRjmjp1Kh5//HGsXr0aX375JcaNGwev14ubb75Z0/5Z3dkmhNBhZwQnih4Fgfl9ZwbnTbgZdmJn5hug412pVi218ykjGmyl5Shm961Uq9bsvi22efgsuAUx2/bDDz/Enj17sGfPHnTu3Dnt71IPyq5du9DY2Jj8/b777kM4HMbEiRNx/PhxXHLJJfjwww81rfEEkJyJR1tUuGltxVqCExzHzDNAx7dccDrgYOobMO49W5F3Mx/zbOs4zew7W5F3M/u22Obis2DndcJQoUiaDs2CCxhYwJulcpBhdhYZZSsFJw12Lhnh5+qOYtZjnqsAgll95+qOYlbfFtt8fBbv4QVx2zbfCofDzLi62TlK7hli55ARdrbgNMpWI718NW3FzHjM1VQOMqNvNW3FzOjbYpuTz4JbELdt8y1Ws8t0c1XUqmXl2Qg7V3AaYauVHr7afpxmO+ZqS+6ZzbfatmJm822xzctnwbbCU4VYlHaSuIDGclQqi7ybrUyXmuDUy9YirXwtjazNdMy11Ko1k28ttWrN5Ntim5tvlefLk1jd49fM1dAdxUxFllsKIOQOTj1srdLC1xKcWtlapYWttci7WXxrLfJuFt8W2/z8U7YwfL5lipGnxrZiZvkEqrU7ilk+3WoNTi1sPVLL1tMdxQy+9XRHMYNvi10YfGvkmSflfeSpo62YGT7F6WkrZoZPt3qCUy1br9Sw9bYVy7dvvW3F8u3bYhcOnwXbmm2rQiwLLedk6+zHqYqtU2rYevtxsvSthq83ONWwjSgX20g/znz6NtKPM9+vcYtdOHwWXGvkqUKZtW7bjGugkTUrz2rYRhpZs/Sdi28kOHOxjSob22gj63z5NtrIOp+vcYtdWHwWbCs8VSgvFYYMBGdOtkFlYxsJzlxsGlLiGw3ObGwaUmIbDc5sbBpSYqtZx6mXTUMWu23ZrPks2FZ4qlCb11s0GJxZ2RSkxDYanNnYtCTHpxGcSmxakmPTCE4lNi3JsWkEpxKblix227JZ80/Z2rb5lsPB5jDJcikEpyKbkuTYatdx6mHTVCafVnDKsWkqk00rOOXYNJXJphWccmyasthty2bNZ8G2JgypUGZzbJrcNDal4JRlU1Qmm1ZwyrFpK5VPMzgz2bSVyqYZnJls2kpl0wzOTDZtWey2ZbPms+AWRHju3bsXt99+OyoqKuDxeHD22WfjoYceQiwWy/q8cePGgeO4tJ+BAwdq3j+rdU1er/d/bIrB2YpNWalsmsGZyWYhiU87OFPZLCSxaQdnKpuFJDbt4Exls5DFbls2az4LbkHctv3mm28giiKeffZZdO/eHV9++SXGjx+PYDCIJ554Iutzhw0bhqVLlyZ/d7lcmvfPvEgCWUw1ONPYDH3Xeg9SDc5UNsuF2NWCHdc3e6kGp8QG2B3z5iCHW2d5qQanxAbY+RZFgsmT11INTokNFF5BAIvd9vxTtkjCsGHDMGzYsOTvZ511Fnbt2oWFCxfmDE+e59GxY0dD+2dZJMERXQg0TW95gFJwSmxW8vv92Gurxpt4g2pwSmyWOsQXYUwdjwMC3eAE2HoX4cctM3hs/IJucAJsfXu9Pkyc+AFeeulLqsEJFN6ieoudP75Vni9FjY2NOP3003NuV1VVhQ4dOqC0tBSDBg3CY489hg4dOihuL3ffvbq6Gj169Ej2hAsEAvD5fIhGo7Db7QBapkLzPI9gMJjcJvX/4XAYTqcToiiCEAKn04ng4d+jzPMYACDOT8fx8D3wO8IIhULgeR6JRAIcx8FutyMajcLr9bbiBoNBeDwexONx2Gw2cByHeDyOQCCAUCiErl27yvp2OBwghCR9h0Ih+Hw+Wd8ulwuCICR9bz6+Ceu+9zEECDhb6I4rjv4YMX8MDaEGzb5jsRjsdrsq35FIBE6nU7fvrwMxjDpejFpiQ2+niDf8R1EU8+FIQwhutxvxeDzpOxaLwePxyPr2er3Jcy/5drvdqKmpgdfrhcfjyerb5XIhHA7L+pbOveTb4XDgyLEYrp/mw9addpxWTPDGE8fRu5sb9fX/O/d6fCcSCfA8j/3798Pj8aT5Tn3NEkIgiiKcTqcm3+FwBJMnf4iVK/fAbuewYMGPMXLkWaivr0/zbbPZEI/HZX1nu9Zo+waQfM0Gg8FWr0Ola42279T3iFy+M681mr4z3yOy+c681rT69nq92LdvX9r1o/Qe4Xa7Zd9ns71HSMeEpgriO89Mffvtt3j66acxYcKErNsNHz4cr7zyCj766CPMnTsXmzZtwo9+9KOsXx7PmTMHJSUlaT+pt31pyRlbmAzOIDcFcX42lRGnJJ/Px+T2x157dUtw2gR0i1ZgdHQM7BQ/g7Hy/W2cw+iGEtQSB7pzMbzfMYIONrrT171eL/XWR00B4Mbpxdi6040Sv4A1CyI4r2eC6j5Y+BZFgqlTP8LKlXtgs3FYsuQajBrVneo+WPiWxOp1CFi+88FnweUI68U7WTR79mw8/PDDWbfZtGkTBgwYkPz94MGDGDRoEAYNGoQXXnhB0/5qa2vRtWtXrFixAtddd53sNnIjz6amJnTu3FnTvrIqZXJQiLsH3rJ5VIMTAOrr6wEA7du3p8ZMnRzULVqBsfw4KrdqU8XCd+rkoJ72BN4qbUDfsnbU+JJoe0+dHFRaJOLNPzfiistOo8JOFW3fmZWDFi36McaPv5QKO1UsXisWOz9s1vz6+nrq3Lzetp08eTJuuummrNt069Yt+eeDBw9iyJAhqKysxHPPPad5f+Xl5ejatSt2796tuA3P861KOdlsFAfoKcEZc/0aoush6sEJAB6Phyovta3Y2Ynu+El8NBw8/ZcPbd+Zs2rfbR9FB7ub6j4k0fSeOav2nWciuKC3kxo/VTR9ZwbnkiUjMGZMb2r8VNF+rVjs/LFZ81mw8xqe7dq1Q7t26kYABw4cwJAhQ9C/f38sXbpUV6AdPXoU+/fvR3l5uabnxeNxzfuSVcZylGBiOpCgewtOEjXPaF056Krm4SBgc8OCpm+55Siu5hjiIrVdpImWd7nlKBXlUVA8NGmi5VtuOcrQod+jek5TxYprsduezZrPgl0Q33kePHgQgwcPRpcuXfDEE0+gvr4edXV1qKurS9uud+/eWL16NYCWqcnTp0/Hhg0bsHfvXlRVVWHkyJFo164dRo8erWn/HI2Rocw6Tu7El/csJK1rNSq5kntOzml630rrOGnx5USDrbSO0+y+ldZxmt23xTYHmzWfBbcgZtt++OGH2LNnD/bs2dPqu8fUr2x37dqFxsZGAC2z5nbs2IEXX3wRDQ0NKC8vx5AhQ/D666+jqKhI0/6l2XK6pVAAwTA3i2iwlWrVmt13tgIIZvaerQCCmX1nK4BgZt8W2zxs1nwW7IIIz3HjxmHcuHE5t0sNUo/Hg7/97W9U9p+rklFWZakcZIibQ0bZ2Yq8m9l3rspBZvWeq3KQWX3nqhxkVt8W21xs1nwW7IIIz3xL95fNOUrumfUL8lzdUczqW03JPTN6V1Nyz4y+1ZTcM6Nvi20+Nmv+STdhqFCkq7STilq1ZiylpaatmBl9q61VazbvamvVms232lq1ZvNtsc3JZs0/Zcvz5VuaSzupLPJutnJUavtxms23liLvZvKupci7mXxrKfJuJt8W27xs1nyrPF+epOlTi4buKGb6lKilkbWZfGvtjmIW71q7o5jFt9buKGbxbbHNzWbNt0aeeZLqTy0a24qZ5ZOWluDUytYqLWw9bcXM4F1PWzEz+M4sgKCmyLsZfFts87NZ81mwC2KdZ74VDAZVbPS05rZiwWBQHVuH1LK1BqcWth6pZevtx5lv73r7cebbd2Zwvvqquu4o+fZtsQuDzZrPgmuNPFUo53A/+DTQNKXlzxrairFuLJtLeoJTLVuv1LCNNLLOp3cjjazz6VtvcKphG5HFPnnYrPks2NbIU4WydWHRG5wSNyvbgHKx9QanGrYR5WIbCU41fCPKxjYSnLnYRpWNbSQ4c7GNymKfPGzWfBZca+SpQorVKTR+x6maS0HZ2EaCMxfbqLKxjQZnLr5RKbGNBmc2Ng0psY0GZzY2DVnsk4fNmn/KVhjKt2TrIhoMTkUuJSmxjQZnNjYNKbFpBGc2Pg3JsWkEpxKbluTYNIJTiU1LFvvkYbPmn7K1bfOtRGbnEwrBKculKDk2jeBUYtOSHJtWcCrxaSmTTSs45dg0lcmmFZxybJqy2CcPmzWfBdsKTxVK6+9JKThbcSkrk00rOOXYNJXJphmccnyaSmXTDM5MNm2lsrWu49TCpi2LffKwWfNZsAtmwtC1116LM888E263G+Xl5bj11ltx8ODBrM8hhGD27Nno1KkTPB4PBg8ejK+++krzvpPTnCkGp8Rti2nlNIMzk01bqWzawZnJpy2JTTs4U9ksJLFpB2cqm4Us9snDZs1nwS2Y8BwyZAjeeOMN7Nq1C6tWrcK3336L66+/Putz/vjHP+LPf/4znnnmGWzatAkdO3bElVdeiebmZk379vv91INT4rJaGCyxaQdnKpuFJDaL4Ezls5Df74cIP/XglNgsfXu9PurBKbFZv1YsduGzWfNP6fJ89957b/LPXbt2xQMPPIBRo0YhHo/D6XS22p4Qgvnz52PWrFm47rrrAADLly9HWVkZXn31Vdx5552q9y00zQPIgy2/UApOgH05qv3OGrznXUM1OCU2wM53tWDH9c1e6sEp8QE23msPBXHTfaXY/BXd4ATY+m5qasa991ZhxYpvqAYnULjl4ix227JZ863yfCd07NgxvPLKK7j00ktlgxMAqqurUVdXh6FDhyYf43kegwYNwmeffaYpPIsYBCfAthzVkeJ6vMfTD06Are9DfBHG1PE4INAPToCd96YAcMuM07H5Kzv14ATY+RZFgvvu+5RJcAKFV3LNYueHzZp/So88AeD+++/HM888g1AohIEDB+Ldd99V3Laurg4AUFZWlvZ4WVkZ9u3bp/g8uYW6xQDi/HQcD98DvyOMQCAAn8+HaDSaXD8kCAJ4nkcwGITf70cgEEj7fzgchtPphCiKIITA6XTiwIEDcLvd8Hg8aduGQiHwPI9EIgGO42C32xGNRuH1eltxg8EgPB4P4vE4bDYbOI7Dt+RbvFO0GgIn4GyhO644+mPE/DEcCxxL+nY4HCCEJH2HQiH4fD5Z3y6XC4IgMPEdi8Vgt9vBcRx2hQX85FgRaokNvZ0i3vAfRVHMh8PHWo53JBKB0+nU7TsSiSAYDCIUCqFr165pvt1uN+LxeNJ3LBaDx+OR9e31epPnnuM4HGtI4Kb/K8HGHXaU+AW88UQjendz4/Bhed8ulwvhcFjWt3QMJd8OhwPRaFTWd+q51+M7Fotj2rQqvPTSl7DbOSxY8GOMHHkWDh8+nPaaJYRAFEU4nU4mvm02G+LxuKzvbNfa/v374fF4Wr0O9foGkHzN5vItXWssfKe+R+TynXmt0fSd+R6RzXfmtabVt9frxb59++D1epN8ufeIeDwOt9st+z6b7T1COiY0ldfvPGfPng2O47L+bN68Obn9//3f/2Hbtm348MMPYbfbMXbsWBBCsu4jc30PISTrmp85c+agpKQk7WfthgGI87OpjTgleb1e+Hw+qsx99r14p3g1BJuALqEzMTo6BnbKn5FY+P42wWHU8WLUEge6czG83zGCDrbs51aPfD4f1ds3TUHghulFyeBcNa8J5/WkPy2etm9RJLjnnn8kg3PhwisxalR3anxJtH2nisXrUJLlu7VY+mbNZ8HlSK70YagjR47gyJEjWbfp1q0b3G53q8e/++47dOnSBZ999hkqKytb/f1///tfnH322di6dSv69euXfPwnP/kJSktLsXz5ctn9yY08A4EAOnXqpOafpElHjx4FAJxxxhlUeKmTgypiZ2FE8zUoO6Ms9xM1irbv1MlBPe0JvH1aE/p0OJ0KO1M0vWfOqn3zzw04v5dA7bikiqbvzFm1ixYNxejRPUzv22KfvGzW/KNHj1Ln5vW2bbt27dCuXTtdz5UyX6lmYUVFBTp27Ii1a9cmwzMWi2HdunX4wx/+oMjleZ75eiZJSt/X6lHmrNoRkWvgcLI5vTR9Z86q/esZYZTZ2b0saXmXW47SvbMNrG7m0PIt11Zs+PAzqbDlRPO1YrFPXjZrPgt2QSxV+de//oVnnnkG27dvx759+/Dxxx/j5ptvxtlnn5026uzduzdWr14NoOV27dSpU/H4449j9erV+PLLLzFu3Dh4vV7cfPPNmvbPanBOCKHClluOYid20/vODM6PugEdbCIz3wAd70rrOGkdFznRYCtVDjK7b4t98rNZ81lwC2LCkMfjwVtvvYWHHnoIwWAQ5eXlGDZsGFasWJE2Sty1axcaGxuTv993330Ih8OYOHEijh8/jksuuQQffvghioqKNO1fFEVq/xbaXKV1nKw8A3R8ywVnRwdwnKFvwLj3bAUQzHzMs5XcM7Nvi31qsFnzWbDz+p1noUia0cWCC+ifRp2tAIJRdjYZZSsFJw12Lhnh56ocZNZjnqtWrVl9W+xTh82az+I9vCBu2+Zb4XCYGVcvO1flICPsXDLCzhacRtlqpJevpuSeGY+5miLvZvRtsU8tNms+C25B3LbNt8w2fVpNyT2WU8r1snMFpxG2Wunhq61Va7ZjrrY7itl8W+xTj82az4JthacKsSjtJHEBbeWo1NaqNVuZLjXBqZetRVr5Woq8m+mYa2krZibfFvvUZLPmW+X58iSzFCvWUuTdTKWu1AanHrZWaeFr7Y5ilmOutTuKWXxb7FOXzZp/ypfny5fMMPLU2h3FLJ9AtQSnVrYeqeXraStmhmOup62YGXxb7FObzZpvjTzzpHyPPL/FHryClzQVeTfDpzg9bcXM8OlWbz/OfB9zvf048+3bYlts1nwWbGu2rQqFQiFm3FxsPcGplq1Xath6+3Gy9K2Gb6SRdT6PuZFG1vl+rVhsi82az4JrjTxViFW5vlxcvcGphm1EudhGGlmzLo2YjW8kOHOxjSob20hw5mIblcW22Gbgs2Bb4alCUruituQaCc5cbKPKxjYSnLnYNKTENxqc2dg0pMQ2GpzZ2DRksS22Gfgs2FZ4qlBb11s0GpzZ2DSkxDYanNnYtCTHpxGcSmxakmPTCE4lNi1ZbIttBv4pW9s233I42BwmOS6N4FRi05Icm0ZwKrFpKpNPKzjl2DSVyaYVnHJsmrLYFtsMfBZsa8KQCim1PaPBTWXTCk45Nk1lsmkFpxybtlL5NIMzk01bqWy5tmJ6gzOTTVsW22Kbgc+CWzDhee211+LMM8+E2+1GeXk5br31Vhw8eDDrc8aNGweO49J+Bg4cqHnfLDuzS2yawZnJpq1UNs3gzGSzkMSnHZypbBaS2FoqB2lls5DFtthm4LPgFkx4DhkyBG+88QZ27dqFVatW4dtvv8X111+f83nDhg1DbW1t8uf999/XvG9p8S5tBQIBBAKBEwUQ6AVnKpuFJDbt4Exls1IgEEDtoSD14JTYLI95U1Mz9eCU2KxfKxbbYueTz4JbMN953nvvvck/d+3aFQ888ABGjRqFeDyetUs4z/Po2LGjoX2zLJKw11aNN/EG1eCU2Kzk9/vxbZzDiL10g1Nis5QIP26ZwWPjF3SDE2Dr3ev1YeLED/DSS19SDU6g8BanW+yTj82abxVJOKFjx47hlVdewaWXXpo1OAGgqqoKHTp0QM+ePTF+/HgcPnxY8/5YfRraGf0aK/nXqQcnwPZT3I7GMIbVuqgHJ8DWd1MAGDnJiY1f2KkHJ8DOuygSjB//LpPgBAp3tGKxTx42az4LbkE1w77//vvxzDPPIBQKYeDAgXj33XdxxhlnKG7/+uuvw+/3o2vXrqiursZvfvMbJBIJbNmyRXHRrNyX1nV1dejcuXOyoWogEIDP50M0GoXdbgfQso6I53kEg8HkNqn/D4fDcDqdEEURhBAcdB/Am/wbEGwCukUrcL1wAyKBCPx+P0KhEHieRyKRAMdxsNvtiEaj8Hq9rbjBYBAejwfxeBw2mw0cxyEej4MQgmAwiPbt28v6djgcIIQkfYdCIfh8PlnfLpcLgiCAEIIauDC8jkctcaCnPYEPOsXgCwd0+47FYrDb7ap8RyIROJ1OXb7DUSdG3c1j01dOlPgFvLcohh6dm5O+3W434vF40ncsFoPH45H17fV6k+de8u12u3HkyBH4fD6IopjVt8vlQjgclvUtHUPJt81mx113/T+89to3sNk4LF16DYYN69zq3OvxnUgkwPM8jh49euL7VFH2NUvI/2/v3IOjKu8+/t3dbHY3twUbQ4IaEkNg551IoVEklEpjLBcxjWhnbGViqEpN1YJCBdSZhs4gAWtTqrY4tTS1jJ3Y1yQiAmPokEAxKYQSIBCJrZCQC7eEkPt9f+8fvLuT3ezlPGfPye6W32dmh8nh2c/57tnd89vnXJ6HYLVaodfrJecOCQmxf4+c30/n3FqtFsPDwy5ze/quKZ0bgP0z6y332O+a0rlt+wgpuZ2/a0rmdt5HeMo99rsmJ3dYWBiuXbvm8P1xt48wGo0u97Oe9hEajQbR0dFyS49L/Nrz3LRp07gLepwfx48ft7d/5ZVXUFNTg7KyMuh0Ojz11FMe79954oknsGzZMqSkpCAzMxP79+/HV199hb1797p9Tn5+Psxms8Pj7bffVvR1XwxpRLHxfzGqHcVd/fFY2vmwYj1OG319fYpPAHt+RItlV024RCGYrhlGsbkDU3SKrkKV3F29wPI1Jnvh3Jl3EXMsyv9m7O/vV3QYMKuV8OKLZfbC+atfzcMPfmBRzG9D6dxjUeP9tMG5xxOsudX2q+H1a8+zra0NbW1tHtskJCTAaDSOW97c3Iy77roLlZWVSEtLk7zO5ORkPPvss9iwYYPL/3fV8xweHvbYwxVh7OwoSSPTkTWwHJMiJiniHovtMIVSx/rHXhw0M8SKfVP6cbdZ+Qlmlc7tfFXtp+/2YbbFqso5ECWzO9/HuXPnw3j8cUvA52Y3uwPRb+uhKolfLxiKjo6W3ZW21XyR+3fa29vR1NSEuLg4t20MBsO4Q7odHR2yMjrjPK3Y4u6lIKjz22V4eFgxl/NVtaWTujDZSgCUL55K5nZ1O0pi3CAUXIUDSmV3NQDCokV3KLptxqKWl93sDhS/Gu6guGDo2LFjePfdd3Hy5Ek0NjaivLwcTz75JJKSkhx6nRaLBaWlpQBu/tL4+c9/jqqqKjQ0NKCiogKZmZmIjo7G8uXLhdav0Wh8fg037+N0nI9Tr9Er4naF7bC3r7i7HSXQc7u7j1MpvyuUcLsbOSjQc7Ob3YHsV8MbFLeqmEwmlJSUIC8vD729vYiLi8OSJUtQVFTk0Eusr69HZ2cngJsn/mtra/GXv/wFN27cQFxcHNLT0/HRRx8hMjJSaP1arW+/MdwNgOCr1xNKuN0Vzq4Az+1pAIRA3uaehtwL5NzsZneg+9VwB0XxvOeee3Dw4EGv7caevjWZTPj8888VWb8vXX5PIwcF8mEKTwMgBHJubyMHBWp2b2PVBmpudrM7GPxquIOiePobk8kk63nehtyT65WCL25vIwcFam4pQ+4FYnYpg7wHYm52sztY/Gq4uXhKoKenR3hsRClj1dquLlNj3EW5bilD7gVibqlj1QZadqmzowRabnazO5j8cvbh3uDiKQHRS5ylDvIeaMNRSR2rNtByiwzyHkjZRaYVC6Tc7GZ3sPnVcHPxlIDIrxaR2VEC6VeiyCDvgZRbdHaUQMkuOq1YoORmN7u553kTLp4SkPqrRXRasUD5pSU6O0qg5JYzrVggZJczrVgg5GY3u9Uk2LJz8ZSAlF8tcqYVC4RfiXKmFQuE3HLn4/R3drnzcfo7N7vZzT1PR7h4SiA83PNIOs4jB0mdHcWb1xekuOXOx+nv3L5MZO3P7CLnOEXdvsBudvvbrbZfDXdQjDDkbzwNASi3cNq8IsMLiuDN7ctE1v7M7UvhlOL3BU9uXwqnN7evsJvd/nar7VfDyz1PCdimFHLGl8LpyasEnty+FE5vbl/x5Pa1cHrz+4o7t6+F05NbCdjNbn+71far4eaep0x8LZz+wtfC6S+UKJz+QInCyTBM4BEEu03/Y5so14ZShdPZqySu3EoVzonOrWThnMjsShbOid7m7Gb3RLrV9qvh5uIpgbGDzyvZ43Se+kxJnN1K9jgnMrfSPc6Jyq50j3Mitzm72T3RbrX9ariD7rDt4OAgZs+eDY1Gg5MnT3psS0TYtGkTpk6dCpPJhO9+97s4e/as8Dp7e3sBKH+otre31+5WmrFupQ/VTlRuNQ7VTkR2NQ7VTtQ2Zze7/eFW26+GN+h6nuvXr8fUqVNx6tQpr23ffPNNFBQU4M9//jNmzJiBzZs343vf+x7q6+uFpiWLiIhQ5RznRNwUrMY5zonIrdY5TrWzq3WOM9huIGc3uwPJr4Y7qHqe+/fvR1lZGd566y2vbYkI27dvx+uvv47HHnsMKSkp+OCDD9DX14e//vWvQuv9crBOlYuDenp67DcGK01PTw9qO/tVuThI7dyXrvSqdnGQmtm7urqxatVnkofcE0Htbc5udvvTrbZfDW/Q9DyvXLmCVatW4ZNPPpE0UsSFCxdw+fJlLFq0yL7MYDBg4cKFqKysxHPPPSd53Xsn7VHlqlo1f2ldMUTi8csGtIwqf1WtmrmtiMCKVw04elqdq2rVym61EtavP4KionNCIwdJJdh+lbOb3YHkv2WH5yMirFy5Erm5ubj33nvR0NDg9TmXL18GAEyZMsVh+ZQpU9DY2Oj2ea5u1B2JGkHS6HRktD+EoYghXO+5jvDwcAwODtrvHxodHYXBYEBvby8iIiLQ09Pj8G9/fz/0ej2sViuICHq9Hi0tLTAajTCZTA5t+/r6YDAYMDIyAo1GA51Oh8HBQYSFhY3z9vb2wmQyYXh4GFqtFhqNBvX9o8i6HolLpIVFb8XfItoRORSOq9d77LlDQkJARPbcfX19CA8Pd5k7NDQUo6OjquQeGhqCTqeDRqPB9RsjePzlMJz4UofJUYS/vdUBS4IRV6/ezD0wMAC9Xi8798DAAHp7e9HX14dp06Y55DYajRgeHrbnHhoagslkcpk7LCzM/t5rNBoMDg5h3bpD2LXrDLRaDXbseAiZmXfj6tWrLnOHhoaiv7/fZW7bNrTlDgkJweDgoMvcY997OblHRkZgMBjQ1NQEk8k07v20fWaJCFarFXq9XpXcWq0Ww8PDLnP39PS4/a4pnRuA/TPrLbftu6ZG7rH7CG+5nb9rSuZ23kd4yu38XRPNHRYWhsbGRoSFhdn9rvYRw8PDMBqNLveznvYRtm2iKORH8vLyCIDHR3V1Nf32t7+l+fPn08jICBERXbhwgQBQTU2NW/cXX3xBAKi1tdVh+bPPPkuLFy8WyrRw4UIaGBhQ5DWPZWBggPLy8tg9QW61/exmN7sD06+GW0NEpGw5lk5bWxva2to8tklISMAPf/hD7NmzBxqNxr58dHQUOp0OK1aswAcffDDueefPn0dSUhJOnDiBOXPm2JdnZWVh0qRJLp8DjO95dnV14a677kJnZyeioqJEX6JHurq6YDab2T1BbrX97GY3uwPTr4bbr4dto6OjER0d7bXd22+/jc2bN9v/bm1txeLFi/HRRx/h/vvvd/mcxMRExMbG4sCBA/biOTQ0hEOHDmHbtm1u12UwGFS/n4lhGIYJboLinGd8fLzD37aTv0lJSbjzzjvtyy0WC/Lz87F8+XJoNBq89NJL2LJlC5KTk5GcnIwtW7YgLCwMTz755ITmZxiGYf67CIriKZX6+np0dnba/16/fj36+/vx/PPPo6OjA/fffz/KysqE7vFkGIZhGGeCsngmJCTA1ala52UajQabNm3Cpk2bZK/LYDAgLy9PlUO57J5Yt9p+drOb3YHpV8Pt1wuGGIZhGCYYCaoRhhiGYRgmEODiyTAMwzCCcPFkGIZhGEG4eDIMwzCMIFw8PaDG3KHf//73ER8fD6PRiLi4OGRnZ6O1tdWje+XKldBoNA6PefPmKeKWkruhoQHPPPMMEhMTYTKZkJSUhLy8PAwNDfmcW65b6vZ+4403MH/+fISFhWHSpEkenSK55bql5u7o6EB2djbMZjPMZjOys7Nx48YN2bl///vfIzExEUajEampqfjHP/7h0XXo0CGkpqbCaDTi7rvvxnvvvee2rYi7oqJiXEaNRoNz586Na3v48GFkZmZi6tSp0Gg0+OSTTzxmFskt6paaOz8/H/fddx8iIyMRExODRx99FPX19YrkluOWmnvHjh2YNWsWoqKiEBUVhbS0NOzfv9/nzHL9Ip+TseTn59vv8Vcqu1sUG+jvv5DVq1fT0qVLvY6jS0S0detWioyMpOLiYqqtraUnnniC4uLiqKury6FdQUEBVVVVUUNDA33xxReUlpZGaWlpHt05OTm0ZMkSunTpkv3R3t4+rp0ct5Tc+/fvp5UrV9Lnn39OX3/9Ne3evZtiYmJo3bp1PueW65a6vX/xi19QQUEBrV27lsxms0enSG65bqm5lyxZQikpKVRZWUmVlZWUkpJCjzzyiKzcRUVFpNfr6f3336e6ujpas2YNhYeHU2Njo0vP+fPnKSwsjNasWUN1dXX0/vvvk16vp48//nhcW1F3eXk5AaD6+nqHnLZxq8eyb98+ev3116m4uJgAUGlpqcfXL5Jb1C019+LFi6mwsJDOnDlDJ0+epGXLllF8fDz19PT4nFuOW2ruTz/9lPbu3Uv19fVUX19Pr732Gun1ejpz5oxPmeX6RT4nNo4dO0YJCQk0a9YsWrNmjdt2otndwcXTDfv27SOLxUJnz571WjytVivFxsbS1q1b7csGBgbIbDbTe++953E9u3fvJo1GQ0NDQ27b5OTkUFZWluhL8Or2Jfebb75JiYmJHtvIze3NLSd3YWGhUPEUyS3VLTV3XV0dAaB//vOf9mVVVVUEgM6dOyece+7cuZSbm+uwzGKx0MaNG1161q9fTxaLxWHZc889R/PmzfPZbdspdnR0uH0drpBS4ERyi7rl5r569SoBoEOHDrltIze3FLfc3EREkydPpj/+8Y+KZpbqF83d3d1NycnJdODAAVq4cKHH4qlEdiIiPmzrAtvcobt27VJk7lB3XL9+HR9++CHmz58PvV7vcR0VFRWIiYnBjBkzsGrVKly9etVjeyluubkBoLOzE7fddpvHNnJyS3H7klsqcnJ7Q2ruqqoqmM1mh3Gb582bB7PZ7PX1Oedubm7Gv/71L4d1AsCiRYvcuqqqqsa1X7x4MY4fP47h4WH7sqGhIWG3jTlz5iAuLg4ZGRkoLy/32FYqUnP7gmhu24hnnj7PcnNLccvJPTo6iqKiIvT29iItLU3RzFL9orlfeOEFLFu2DA899JBHn6/Zx8LF0wlymjtUCp7mDrX931g2bNiA8PBwfOMb38DFixexe/duj/6lS5fiww8/xMGDB/HrX/8a1dXVePDBB8fNOyrqFs1t4+uvv8Y777yD3NxcxXKLuOXmloqc3FKQmvvy5cuIiYkZ9/yYmBiPr89V7oyMDIyOjgptq8uXL7tsPzIy4jALUltbm7A7Li4Of/jDH1BcXIySkhLMnDkTGRkZOHz4sNvXJRWpueUgJzcRYe3atViwYAFSUtxPjC4nt1S3SO7a2lpERETAYDAgNzcXpaWl+J//cT0TvZzMIn6R3EVFRThx4gTy8/Pdbgdfs7tEqJ8axKg5d+jTTz8tyW3j2rVrVF9fT2VlZfTtb3+bHn74YbJarT7lluMWzU1E1NLSQtOnT6dnnnlGke0txy0nt9RDq3JyS3VLzf3GG2/QjBkzxj1/+vTplJ+f73U9NlpbWykkJIQAUGVlpcP/bd68mWbOnOnyecnJybRlyxaHZUeOHCEAdOnSJfuylpYWYbcrHnnkEcrMzPTYBhIOrUrNLcftCm+5n3/+eZo2bRo1NTV59MjJLdUtkntwcJD+/e9/U3V1NW3cuJGio6Pp7NmzimUW8UvNffHiRYqJiaGTJ0/al3k7bCv3c+LMLVM8r127Rl9++aXHR39/P2VlZZFWqyWdTmd/ACCdTkdPPfWUS3d1dTUBoOLiYgdfeno6ZWVl2d2uaGpqcrkD8pY7Pj6e1q5d65NbNHdLSwvNmDGDsrOzaXR01NPmFs4t4pazvaUWODnbW6pbau6dO3e69JnNZvrTn/7kdT1jSUpKIq1WSyUlJQ7LV69eTQ888IDL53znO9+h1atXOywrKSmhkJAQh/Png4ODpNPphNyu2Lx587hzUM5IKXBSc8txu8JT7hdffJHuvPNOOn/+vFePaG4Rt2jusWRkZNBPfvITRTKL+l3hKndpaal9/zx2f63RaEin07m8wEiJ7EREQTkwvBzUnDs0NTUVsbGx+M9//oPHHnsMwM3zQSdOnMC2bdtgsVjcro/+f2hhd4cEXeVub2/HlStX8M1vftMnt0julpYWpKenIzU1FYWFhdBqPR/xF8kt6vZle3vDl+3tDam509LS0NnZiWPHjmHu3LkAgKNHj6KzsxPz58+XvL729nY0NzcjISEBBw4cwPLly+3/d+DAAWRlZbl8XlpaGvbs2eOwrKysDPfee6/D+fPQ0FCkpqYKuV1RU1ODuLg4ye3dITW3UrjKTUT42c9+htLSUlRUVCAxMdGrR2puOW6puV1BRG73HUpsa09+V7jKnZGRgdraWodlP/7xj2GxWLBhwwbodDpVstteAOMBd4dtZ86c6fCLe+vWrWQ2m6mkpIRqa2vpRz/60bhbEI4ePUrvvPMO1dTUUENDAx08eJAWLFhASUlJNDAw4NLd3d1N69ato8rKSrpw4QKVl5dTWloa3XHHHT67pea2HU598MEHqbm52eHScXfbRGpuOW6puYmIGhsbqaamhn75y19SREQE1dTUUE1NDXV3d/uUW45bJPeSJUto1qxZVFVVRVVVVXTPPfeMu1VFau7CwkLS6/W0c+dOqquro5deeonCw8OpoaGBiIg2btxI2dnZdq/tUv6XX36Z6urqaOfOnV5vVZHq/s1vfkOlpaX01Vdf0ZkzZ2jjxo323rgz3d3d9m0KgAoKCqimpsZ+G4wvuUXdUnP/9Kc/JbPZTBUVFQ6f5b6+PnsbubnluKXmfvXVV+nw4cN04cIFOn36NL322muk1WqprKzM520txy/yOXHG+bCtr9ndwcXTC+6KJwAqLCy0/221WikvL49iY2PJYDDQAw88QLW1tQ7POX36NKWnp9Ntt91GBoOBEhISKDc3l5qbm926+/r6aNGiRXT77beTXq+n+Ph4ysnJoYsXL/rslpq7sLDQ7Tk6X3PLcUvNTXTz9g1X7vLycp9yy3GL5G5vb6cVK1ZQZGQkRUZG0ooVK8Zdti+S+3e/+x1NmzaNQkND6Vvf+pbD7Q05OTm0cOFCB3dFRQXNmTOHQkNDKSEhgXbs2DEuow0R97Zt2ygpKYmMRiNNnjyZFixYQHv37nXptd2u4PzIycnxObeoW2pud5/lsZ8BubnluKXmfvrpp+3v4e23304ZGRn2wuZLZrl+kc+JM87F09fs7uApyRiGYRhGEL5VhWEYhmEE4eLJMAzDMIJw8WQYhmEYQbh4MgzDMIwgXDwZhmEYRhAungzDMAwjCBdPhmEYhhGEiyfDMAzDCMLFk2EYhmEE4eLJMAzDMIJw8WSYW5Br164hNjYWW7ZssS87evQoQkNDUVZW5sdkDBMc8Ni2DHOLsm/fPjz66KOorKyExWLBnDlzsGzZMmzfvt3f0Rgm4OHiyTC3MC+88AL+/ve/47777sOpU6dQXV0No9Ho71gME/Bw8WSYW5j+/n6kpKSgqakJx48fx6xZs/wdiWGCAj7nyTC3MOfPn0drayusVisaGxv9HYdhggbueTLMLcrQ0BDmzp2L2bNnw2KxoKCgALW1tZgyZYq/ozFMwMPFk2FuUV555RV8/PHHOHXqFCIiIpCeno7IyEh89tln/o7GMAEPH7ZlmFuQiooKbN++Hbt27UJUVBS0Wi127dqFI0eOYMeOHf6OxzABD/c8GYZhGEYQ7nkyDMMwjCBcPBmGYRhGEC6eDMMwDCMIF0+GYRiGEYSLJ8MwDMMIwsWTYRiGYQTh4skwDMMwgnDxZBiGYRhBuHgyDMMwjCBcPBmGYRhGEC6eDMMwDCMIF0+GYRiGEeT/AB0PZ+mLoHFdAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 定义b的值\n",
    "x_array = np.linspace(-4, 4, 100)  # x轴数据范围\n",
    "b_array = np.arange(-3, 4)  # 偏移量数组\n",
    "y_arrays_b = [x_array + b for b in b_array]  # 计算每条直线的y值\n",
    "labels_b = [f\"b = {b}\" for b in b_array]  # 为每条直线生成标签\n",
    "# 绘制图形\n",
    "plot_lines(x_array, y_arrays_b, labels_b, \"y = x + b\", leg = 4)  # 调用绘图函数"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1dcf9ee0-f260-4d36-8a61-04d82924d5a0",
   "metadata": {},
   "source": [
    "## 第四组：y = -x + b，其中b_array = np.arange(-3, 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "db845bd9-94dc-450f-baf7-fa172c0806ec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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zSwMhBC6XPyubXONYuHAhTCYTvvnmG8yYMQPTpk3DnDlzUu6/ZcuW6OzkVNuUs/e2UuzatQtff/01OnfurOh4FveJnmFIAoTWaklFxEDnY05SJiI1vOmgmjtioCduAYK74jIRaVq3YCaiZUCnXnT4RaCWWywTkZZ169zp4XYHkJdXRpVTKpzOsXA4pP89559/PqZNmwaO49CmTRvs2bMH06ZNw0MPPSS4f4cOHbB7925RzoYNG6Y9r9CQcPPmzVFdXY1gMIiJEydi6NChkv6GRLC4V3Im8pw1axauuuqqaIHqTp064X/+539S7r9x48boGHrs9vPPP8s+t8fjUSM9ZQTq8XhUc6cCFe4UEajmdSdFoP2jEajWtaeKQLWuW+c+d9CxY8c4I+vUqRMOHDiAQCAguJTEZrOhVatWopuYeUai08LCQjz22GNxv9uyZQt27NiB2bNnY/r06ViyZImiv4nFtcyZyLN58+aYOnUqWrVqBaB+aKFXr17YtWsXLr88dVq5/fv3o6CgIPpzcXGx7HPTmOYsFIEOcNwDm4JqLFJAbWq2QASaZ18HYryMDn8CqOmORqAcsOmf0Vy4jqtvocMvAFrahSLQDk8/TYVbCKyWZOjcv8Fu5+F01l/XTKfQs9vpTJZJtZRky5Yt6NGjh+ix48aNw7izqSkTEYlaQ6FQ3LMaqC8rCQBXXnkljh8/jokTJ+Lee++VrZ3FvZIz5tmzZ8+4nydPnoxZs2Zh27ZtoubZpEkTFBUVqTq30+mkkhcx0UAX8R+h1+m70cLeQjV3IiKLgqnkc4waaH0uXIvzNpwyrITdfqN67gRQ1W00Ac98CIBEh3D9I+fA/4fbmORDpak90UBdTieuefppzevWuYXBcVx06FTrydu3bduW9HPr1q3BcRzC4XCS6asdto0EREJp9WJBCIHP5xPdJxVoPcNjkTPmGYtQKIRly5bB5XKhU6dOovu2b98eXq8Xl112GcaPH4+uXbuK7u/z+ZIu0OnTp5GXlwen0xn91+FwwOfzRW+kUCgEi8UCl8uVtG9eXh48Hg94noc5bEZfrj+W53+MGr4aaxqsQq/qu1HsKI7u63a7YbFYEAwGwXEcjEYjfD4f7HZ7Eq/L5YLNZkMgEIDBYADHcdH/d7lccLvdgrpNJhMIIVHdbrcbDodDULfZbEYoZACMy5Af7gNj+Hs0CPfFieMrYMvvoEq33++H0WiUpNvr9YLneZm6QyCPzEReIAj+6xUonDkU1Y++C/ctA+N0W61WBAKBqG6/3w+bzSao2263R699RLfVaoXH44HD4UBVVZWobrPZHN03kT/ShqFQCFcMHw6/z4cvX3wR306dikAwiFtefFHw2ivRHQwGYbFY4PV6Ybfb43TH3rOEEITDYfA8L0k3IQQmkwk+n0/weibqNhgMCAQCgrrF+hpt3QCi92w63bF9TUj3qVOnEA6HEQwGEQwGo8+SiAFF/maDwRD9mRACjuOiE3xi9031b+K+QH2mnlAoJLpv5FxC+xw5cgSjRo3CsGHDsHPnTsycOROvvfZaSt08z6Nly5ZpdcdqEts3EAhg9uzZaN68OS699FIQQvDVV1/h9ddfx4gRIwT/tgh/KBSC0+mEz+eLe0awSL6QM+88AWDPnj3Iy8uDxWLB8OHDsWrVKlx2mfDwYWlpKd5//32sWLECK1euRJs2bXDzzTdj8+bNoucoKytDYWFh3PbWW29R/TsahRvjHs8gWINW1JiqsaZoFTwSk8lLRaTj0wThGsBjXwtv6DIYUIMG4T7gQj9RPQcL3TCa4HtqDnwde4MLBVD83mMwfvsp3XOgvnJDpJQVLVz717+i49lJQ7tefx1bX32VKj/ARncETK7nWeSqbq2n0Lv//vvh8XjQqVMnPPnkkxgxYgQeeeSRjKbnC4fDGD9+PK655hp07NgR77zzDqZMmYKJEycq4mZxn+RUSTK/34/y8nKcPn0aK1aswJw5c7Bp06aUBpqInj17guM4rF2bOgONUOQZCoWYVE8v9xzGEusiuDjlBbVTgWm5JuevsLruhCH8/dlyZp8D/BV0uBnqRiiI4JR7YfpquaqC2qnAUvvnL76ILWcfHEoLaqeClkt75Sq31+vFwYMH0bJlS1it1rjf5WrZMK2XJBNr8999STKz2YxWrVqhQ4cOKCsrw9VXXy0rKuzYsSMOHDgguo/FYonO6I1srNaS2V0O9D7dV1E5s3Rwu93svvF7rThlWBYzC/cmyeXM0nIz1A2jCaeHzYSvY29F5czSgaX2q0aMiEagcsuZpQPTe0XnToLWI89scLPmZ3Etc8o8EyH3BfKuXbsEq4yng8VikX2MVN5mpmaK64Gm42ap22wtSZuJSCk3K90AYLE74B81T3E9UFFuxm1+3bPPKq4Hmo6bpW6dOx5aTgyfLW7W/CyuZc6Y57hx47BlyxYcOnQIe/bswfPPP4+NGzdi0KBBAICxY8di8ODB0f2nT5+O1atX48CBA9i7dy/Gjh2LFStWYOTIkbLPzTqLiZJyZlK5WSDKLSGVn2JuRgiFQgiBU1VQW5SbcZurKaidjpsFdO5kaD09Xza4WfOzuJY5Y57Hjx/H/fffH534880332D9+vXo1q0bAKCiogLl5eXR/f1+P8aMGYOrrroKN9xwA7788kt8+umn6NOnj+xzZ+JmlFvOTA43bcRxUzbQjHVQFQW103IzQCw3bQPN1QdurnLryDxYXMucmjCULdTV1SE/P58JL4A47ipUYT7mwAV1k4iEuGlBkDt8MroOtH4SUX0qPyrcFJHEHwoCr95Xvw5U5SSiTLf5lrIyfH524bmaSUQZv1d+B9z6hKHM84u1OYtneM5EntmE0oW5UngTuWlFoELctCDILbOgtixuikjipxiBZrrNaUWgGb9XfufcuTqpJ5cnDLG4lrp5SgCTZRNneYW4aRhoKm4aSMlNwUBZ6k7JT8lAs9HmNAw0K/fK75g7Vyf15PKEIRbXUjdPCYik6mLBm4pbrYGKcauFKLdKA2WpW5SfgoFmq83VGmjW7pXfKXeuRoe5HHmyuJa6eUpAXl4eM14xbjUGmo5bDdJyqzBQlrrT8qs00Gy2uRoDzeq98jvkztXoMJcjTxbXUjdPCcjmt9uIgcpdB5r1b+UKDTRrkWcEKgw0222u1ECzrfv3xq3l6LBLly4YNWoUE+500CPPcxDZ/nYbWQcqx0A18a1cgYFmNfKMQKGBaqHNlRioFnT/nrhzNTrMZOS5cuVKdOvWDcXFxdH6zf/7v/+rmFuPPLMElsmnpXLLNVA53HIhi1umgbLULYtfgYFqpc3lGqhWdP9euLUceWaLO5F/8+bN6NatG9atW4fvvvsOXbt2Rc+ePbFr1y5F3CyupW6eEmCz2ZjxyuGWY6ByueVANnfUQNMnUmCpWza/TAPVUpvLMVAt6f49cGs9OgwGgxg5ciSKiorQqFEjjB8/HoSQjEae06dPxzPPPIM//vGPaN26NaZMmYLWrVvjk08+UcTN4lrq5ikB6Yq0quGVyy3VQJVwS4UibomZiFjqVsQvw0C11uZSDVRrus9FbkIAl7t+c7oInC4S/ZnmJsQtNw3OwoULYTKZ8M0332DGjBmYNm0a5syZkzLr0pYtW6LD3Km2KWfvQ/E2Sp3VKRwOo66uTrSothhY3Cc5WQw70+A4TlO8EQNdgLlRA03MRMRKsyruiIGeuAUI7qo30IRyZix1K+aPGChQn4locj/BTERabPMbxo4FAHw+bhy+GD8eIAQ3jh9PhVsKdO56uD1AXofITywfu8nczh2AQ8Yyx/PPPx/Tpk0Dx3Fo06YN9uzZg2nTpuHBBx8U3L9Dhw7YvXu3KKdS04vgjTfegMvlwl/+8hdFx7O4V/TIUwJYpaMyGo2KudNFoGq400EVd1IEGl/OjKVuVfwSIlCttnlcBPrCC9g8aRI17nTQuXMPHTt2jDObTp064cCBAwiHw4ImZLPZ0KpVK9FNzDwj0WlRURFGjBiR9PslS5Zg4sSJWLp0KZo0aaLob2JxLfXIUwL8fr8meRMj0IWYhwfORqCsNAMU2kMwAq3PhctSN6BSe5oIVMttfsPYseA4Dv9v7Fh88cILABCNQLWs+1zhttvqI0Cg/p0iAJhM9B+/Qtx2Sq/7xIZte/ToIXrsuHHjMO5sHuZERKLWYDCIgoKCuN8tXboUDz/8MJYtW4ZbbrlFmXCwuVdyxjxnzZqFWbNm4dChQwCAyy+/HH//+99FL9qmTZswevRo7N27F82aNcMzzzyD4cOHyz43y0kJahEx0PmYg4oYA2U96UY1UhiozdZSPbcIVGsXMVCtt/n1zz0HQkj9EG6MgWpd97nAzXG/DZ2GQvXRG4vAlgb3tm3bkn5u3bp1SrNXO2zbqlUrAMllw5YsWYKHHnoIS5YswR133CFBeWqwuFdyxjybN2+OqVOnRht64cKF6NWrF3bt2oXLL0+u3nHw4EHcfvvteOSRR/DRRx/hq6++wuOPP47i4mL07dtX1rmdTieT3IiRhbtquSOJFGIN9A7XXbASq6Z1CxmoB8sR4toyyytKRXsKA3Ve3FE9dwrQavO4d6AvvABwHNo+8ggVbiFQu1fOIe7IcgwWQ4k0uI8cOYLRo0fj0Ucfxc6dOzFz5ky88cYbKbkjw7ZqEcu/ZMkSDB48GG+99RY6duyIysrK6LkKCwtlczN5hpMcRoMGDcicOXMEf/fMM8+Qtm3bxn326KOPko4dO8o+T63TpUhfOrhcLuJy0eM+To6TqWQyeYGMI2+H3iI1rhpq3LGgrZuEThBS9QdCjoGEKxoT95nt9LgTQFV7MEDIlAGEdAchd/DE+8XHdNslBrTbfPOUKWQiQCYC5N8TJuSM7lzh9ng85KeffiIejyfpd8FgkASDQTXyUkItd+fOncnjjz9Ohg8fTgoKCkiDBg3Ic889R8LhMFPdhMRr79y5MwGQtD3wwAMpjxdrcxb3SU7W8wyFQli2bBkeeOAB7Nq1C5dddlnSPjfeeCPat2+Pt956K/rZqlWr8Je//AVutxs8zwtyC5Ui6lcexvKWZnhdTuTl5cHpdMLhcMDn80W/hYVCIVgsFrhcrug+sf96PB7wPI9wOAxCCHiex9GjR2G1WmGz2eL2dbvdsFgsCAaD4DgORqMRPp8Pdrs9idflcsFmsyEQCMBgMOCE8QSW2pfAY3CjgbcBBocfRMgZStJtMplACInqdrvdcDgcgrrNZjNCoRAT3X6/H0ajERxOwe7pBRP5AcFwQwQK/hd1ngvidHu9XvA8r1i31+uFy+WC2+1GixYt4nRbrVYEAoGobr/fD5vNJqjbbrdHrz0XDsHy1sOwbFsNYjSheti7QKdeorrNZjM8Ho+g7kgbRnSbTCb4fD5B3bHXXrZujsO2117D1rOTh9qPGYOOf/ub4D1LCEE4HAbP80x0GwwGBAIBQd1ife3IkSPR9Zg0dAOI3rPpdBsMBnAcl1L3qVOncPr0abRo0SKutiTHcfD7/dE1jQaDAeFwGAaDAYQQcBwXfa/IcVz0d6n+Tdw3spnNZtF9I+cS403UwlK3wWAQ5Zei2+/34+DBgygpKQHP83HPiMi1pImcmm27Z88e5OXlwWKxYPjw4Vi1apWgcQJAZWUlmjZtGvdZ06ZNEQwGUVNTk/IcZWVlKCwsjNs2GIrwYLUZQcpfM+x2OxwOB1XOxuHG6HumP2xhO05ZT+Gf1kXwcl6q52ChG1xDnDGtQBBXwWQ4CaurB4zkZ7rnAOBwOOgO3xhNcD4+G8E/9wUXCqL4/REwf/c/9PjPgrpuAB2efho3TJwIANj1+uv4bto0qvwAG90RMLkPz4Klbq0nScgGN2t+FvdJTkWefr8f5eXlOH36NFasWIE5c+Zg06ZNggZ6ySWX4MEHH8TYs+94AOCrr77C9ddfj4qKCpSUlAieQyjybPxrPgLg0L8AWHweYKK0ZKi6uhoAUFxcTIcwBvtP/oyVRSvgMbhRgtKkdaBqwFJ3TdX/oTDUHzx+AAzF0Vm4tMBMeygI70v9Yf1mNWDigeeXAZ16UaNn2ebrx4/HN2cTKHSdNAk3Pv88NW6WurXM7fV6cfDgQbRs2TIu8gR+W7CfavRLDXKVmwa/WJtXV1dTv09yKvI0m81o1aoVOnTogLKyMlx99dVxw7KxKCkpib5kjqCqqgomkwmNGjVKeQ6LxYKCgoK4bXGxDzyAZWeAgUdBLQJlWXC3ueV8DPQOUlVQOxVY6rY5zoM//1+qCmqLgZl2owmhvy5A8M99z64D7Q9sXUONnmWb3zB2bDQCVVpQOxVytWC1Xgw7s9ys+fVi2AkghCRFiRF06tQJGzZsiPvss88+Q4cOHWR/s7nJ6MbK80HdQIWiXFrw+XzI9xYoKmcmhZulbp/foaqgdlp+VtqDIZwZ/m5MIoX+sgtqp+Rm3ObtnnhCVUFtMW6m90oOchORNHS/V27W/CyuZc6Y57hx47BlyxYcOnQIe/bswfPPP4+NGzdi0KBBAICxY8di8ODB0f2HDx+Ow4cPY/To0di3bx/mzZuHuXPnYsyYMbLPbTQacWc+qBtoJjKkKClnJpWbBaLcKgpqS+JnAKPRCKPZoqqgtig34zZXU1A7HTcL5Cq3jsyDxbXMGfM8fvw47r//frRp0wY333wzvvnmG6xfvx7dunUDAFRUVKC8vDy6f8uWLbFu3Tps3LgR7dq1w8svv4wZM2bIXuMJ/JYXkbaBchzHNG9uhJu2gWZKNwsDzYh2FQW103IzQCw3bQPN2L2ic+c0N2t+Frw5kyRh7ty5or9fsGBB0medO3fGzp07VZ87kvIK+M1A+xypN1BA+SSiWF7aSOSWkkxeKTdNJHFHDPRENyC4My6VHxV+iojjlphMXhE3ZSRyJyWTBxRPIsrovZIj3KyHPnORmzU/i+uZM5FnNmGxWOJ+FopAAwquu8ViSeKmBSFuWhFopnXTjEAzqp1iBJrpNqcVgWb8XskB7lyNDnM58mRxLXXzlAChKuSJBjpIgYGyrFafipuGgWZDNy0Dzbh2SgaajTZPMtCEaixquGkgV7kjiQx07szxs7iWunlKQF5enuDnag00UoqHBcS41RpotnTTMNCsaKdgoNlq83TlzNRwq0Wucmt5OUmXLl0watQoJtzpwJKfxbXUzVMCIkmihaDGQJ1Opyi3GqTjjhioknWg2dSt1kCzpl2lgWazzW8YOxY3l5UBkG+gWb1XNMqdq9FhJiPPiooKDBw4EG3atIHBYEhp6FLB4lrq5ikB6b61KDXQbH9zjlRjkWug2datxkCzql2FgWa7za9/7jlFEWi2dWuRW8uRZ7a4E/l9Ph+Ki4vx/PPP4+qrr1bNrUeeWYKUby1KDFQL35yVGKgWdCs10KxrV2igWdcNgSFcCZOItKBba9xajw6DwSBGjhyJoqIiNGrUCOPHj48m2c9U5HnhhRfirbfewuDBgxWVIEuEHnlmCVK/tcg1UK18c5ZroFrRrcRANaFdgYFqQjfkz8LViu5scxMCuML1mwcGeGCI/kxzE+KWuwJk4cKFMJlM+OabbzBjxgxMmzYNc+bMSRl5btmyJdpeqbYpZ+8ZMeTaO8+cWeeZTXg8Hsm5EYXWgS46D+AFZmB7PB4AbPIuyuWOLaidbh2olnTLXQeqGe0y14FqRjfkrQPVku5scrsJkBctEsQyc1Eyt7Mt4JCxAuT888/HtGnTwHEc2rRpgz179mDatGl48MEHBffv0KEDdu/eLcrZsGHDtOdluc5TzjNcKvTIUwLk5sIVikCFMhHxPM+sQoESbqkRqNZ0y4lANaVdRgSqKd2QHoFqTbcWuLWOjh07xq237NSpEw4cOIBwOCy4DtNms6FVq1aim5h5RqLToqIijBgxgsnfxOJa6pGnBCj5RiQlE5EWs4FIiUC1qFtqBKo57RIjUM3phrQIVIu6s8Ft5+ojQOC3bDcmE/3HrxC3nVLegVSJ27ds2YIePXqIHjtu3DiMGzdO8HeRqDUYDKKgoEC1TiGwuFd085QApS/J0xko65fvSpHOQLWqW4qBalK7BAPVpG6kN1Ct6s40N8f9NnQaPDveZ2Iw7keDe9u2bUk/t27dOmVydbXDtq1atQLANiUii3tFN08JUBPyixkoy2EhtdwRAxXKhatl3ekMVLPa0xioZnVD3EC1rDtb3KxT3KnFkSNHMHr0aDz66KPYuXMnZs6ciTfeeCMld2TYVi0S+SOG7HQ6UV1djd27d8NsNuOyyy6Tzc3ieubMO8+ysjL88Y9/RH5+Ppo0aYLevXtj//79osds3Lgxmi8xdvv5559Fj0tEZPKAUqSqxuLxeFRzpwIN7lSZiLSuW+wdqKa1i7wD1bRupH4HqnXd2eDW+lKVwYMHw+Px4Nprr8WIESPwxBNPYNiwYRlPz9e+fXu0b98e3333HRYvXoz27dvj9ttvV8TN4lpyhHWqfEq47bbbcM899+CPf/wjgsEgnn/+eezZswc//fQTHA6H4DEbN25E165dsX///rix9OLiYln13dxuN5WZWv+qq49AAwD6FwBzGrhh4tjMFnS76yf60OCuQhUWYC6ccKIEpRjgvgc22DWvG+GTv0WghmKg4RdwB1rS408ANe2hIPDqffURqIkHnl8O99W30OEWAM0231JWhs/Pvtvq+vLL6DB6NDXuRFC9Vyhze71eHDx4EC1btoTVao37XSgUAsCmxmSuctPgF2tzWs/wWORM5Ll+/XoMGTIEl19+Oa6++mrMnz8f5eXl+O6779Ie26RJE5SUlEQ3uReH1gLbxAj0/goDTtVpf5F3YgS6iP8I1a5qKtyJoLo4XSAC9dTt0P7CeoEI1L95ufZ1IzmRwqaXXsoJ3Znk1nrkmQ1u1vwsrmXOvvOsra0FIG39UPv27eH1enHZZZdh/Pjx6Nq1a8p9fT4ffD5f3GenT59GXl4enE5n9F+HwwGfzxc14lAoBIvFApfLlbRvXl4ePB4PeJ7H9eEw/tHAhMGnHFjrtwJODu+iCg3yf9vX7XbDYrEgGAyC4zgYjUb4fD7Y7fYkXpfLBZvNhkAgAIPBAI7jov/vcrngdrsFdZtMJhBCorrdbjccDoegbrPZDHPIjD5cPyzP/xg1fDXWNFiFXtV3o9hRrEq33++H0WiUpNvr9YLneVm6QyEDYFyG/HBfGMO70QB9URlYDLf7z3G6rVYrAoFAVLff74fNZhPUbbfbo9c+ottqtcLj8cDhcKCqqkpUt9lsju6byB9pw1AoBPLITOQFAuC/XonCmUNR/ei7cN8yUPDaK9EdDAZhsVjg9Xpht9vjdMfes5HsMjzPS9J9xfDh8Pt8+PLFF/HtK68gEAzilrMmKqTbYDAgEAgI6hbra7R1A4jes0L3Yaq+JqT71KlTCIfDCAaDcRNhOI5DOByO/s0GgyH6MyEEHMdFZ4bG7pvq38R9gXoTCoVCovtGziXGm0oLC92xvxPil6I7FAohFArB6XTC5/PFPSNYJF/ImcgzFoQQjB49Gtdffz2uuOKKlPuVlpbi/fffx4oVK7By5Uq0adMGN998MzZv3pzymLKyMhQWFsZtb731FlX93a0BLCr2gkcYa30WPF5XoKgeqBgiHZ8mGoUb4x7PIFiDVtSYqrGmaBU8CuqBioGFbsI1gMe+BkFcBQNq0MR4D7jQT1TPAdQPDVEtfWQ0wfvkHPg69gYXCqD4vcdg/PZTevxnQV03gGv/+ld0PDtpaNcbb2Drq69S5QfY6I6AxX0YQa5Gh7kcebK4T3LmnWcsRowYgU8//RRffvklmjdvLuvYnj17guM4rF0rvBhdKPIMhUJo0KCBYr2psKLGi4FVFvjBoX9B6kxESsDyfVC55zAWWxfBzblQgtKUmYiUgKVuhE8iXH0zDOHd0XegqTIRKQEz7aEgglPuhemr5dF3oKkyESkByzb//MUXsWXiRABA10mTUmYiUgL9nWcycpWbBr/+zjMNnnjiCaxduxZffPGFbOME6rNnHDhwIOXvLRYLCgoK4rbIRaWNznBifuEZmDnlBbVTwe12M/vmbHc5cPfpvorKmaUDS90wNMQpw8cI4ipVBbVTgZl2owmnh82Er2NvVQW1U4Flm181YgQ6nl2+IiUXrhyw1M2SO1ejw1yOPFlcy5wxT0IIRo4ciZUrV+Lzzz9Hy5YtFfHs2rULpaWlso6xWCyKziWFt2eBASuag7qBWiwWprqbmZopKmcmhZuVbgAwW0vgcaxVVVA7FZi2ud0B/6h5qgpqp+RmfK9c98wzspLJy+FmqZsVd66WDcvlYtgsrmXOmOeIESPw0UcfYfHixcjPz0dlZSUqKyvj1u+MHTsWgwcPjv48ffp0rF69GgcOHMDevXsxduxYrFixAiNHjpR1blaRZ+QF9535wIrmygpqp+NmgQi30nqgUrhZIRQKIRQuVFVQW5SbZZuDU1VQW5Sb8b0itxqLHG4WYMmdKs3d75mbNT+La5kz5jlr1izU1taiS5cuKC0tjW5Lly6N7lNRUYHy8vLoz36/H2PGjMFVV12FG264AV9++SU+/fRT9OnTR9a5M3EzKi2oLYWbNmK5aRtoxjqoioLaabkZIMotmEhhDR1uBojlpm2guWwUOjILFtcyJycMZRp1dXXIz89nwgsgjjsxkYLSSURC3LQgxF2FKszHHLigbhIRS92C/AKJFJROIspomwskUlA6iSjT90pcIgUVk4gyrVsO9AlDmecXa3MWz/CciTyzicTZtzR5E7mlljNTwk0LQty0IlCWugX5KUagGW3zaAR6j+oh3EzfK7Qi0EzrpgUtT+rp0qULRo0axYQ7HVjys7iWunlKAJNlE2d5hbhT5cKlwU0DqbhpGChL3Sn5KRloxtvcaAKe+VD1O9Bs3Cs0DDQbumkgVyf1sOTes2cPbr75ZhQUFOC8887DSy+9RHWolcW11M1TArKRAkytgWYrdZlaA2WpW5Q/aqDtFRtoVtpcRkFt2dwUIMat1kD19HznBveZM2fQrVs3lJaW4uuvv8bMmTPx+uuv480336R2DhbXUjdPCcjLy2PGK8atxkDTcatBOu6IgSZWY6HBrRai/IaGQKN/KzbQrLW5SgPN5r2ixkCzqVsNtB4dBoNBjBw5EkVFRWjUqBHGjx8PQggz3YsWLYLX68X8+fNx1VVXoU+fPhg3bhzefPNNatEni2upm6cEZPPbrVIDzfa38lTlzGhwq0FafkED/ZEOtwqk5VZhoNm+V5QaaLZ1ywEBgf/sf96wF96wN/ozzf+EuAnkGdDChQthMpnwzTffYMaMGZg2bRrmzJmTMvLcsmVL9MtGqm3K2esrhK1bt6Jz587geT7K3717dxw7dgyHDh2SpT0V9MTwWQLLb7dSIFZQWy23EkjljhioUEFttdxKIYk/YqAnbgGCu4CTN0mahZv1Nk9TUFsVt0JI5U4qqE0IbjybmUgttxLQ5g4ggEl4sf4HdnW2BbnHYwLMMEumOP/88zFt2jRwHIc2bdpgz549mDZtGh566CHB/Tt06BAtXJ0KYgU8KisrceGFF8ZFtU2bNo3+TmlCnFjokWeWwDL5tFRuoQhUbB2oHG65kMMtNwJlqVsWv4IhXE20uYIIVBO6kVzObPOkSdS45YL1fahldOzYERz32zfzTp064cCBAwgEAoKRp81mQ6tWrUS3dNWvIpVSIvyxlVRogMW11CNPCbDZbJrgFYpAU60DZaVZCXfEQOdjTtoIlKVu2fxJEWhX0QhUM20uMwLVjG4kRKAvvAAAKSNQLelOBx48xmMCgMyvxeQphbqp3nlu2bIFPXr0ED123LhxGHd2bW8iSkpKUFlZGcddVVUF4LcIVC1Y3Cu6eUpAIBDQDG/EQPv+Km6grDQr5Y5MIkpnoCx1K+KXYaCaanMZBqop3RAwUI4TTKSgNd1i4MBFh06DpL6+p4nB45cG97Zt25J+bt26dVxtzVioHbbt1KkTxo0bB5/PB7O5vo0+++wzNGvWDBdeeKFs/UJgca/ow7YSQGvoQIhXCXckF65YMnml3FKglFvKMhaWuhXzR4dwxdeBaq7NJQ7hak43pE0i0qLucwFHjhzB6NGjsX//fixZsgQzZ87EU089lXJ/tcO2AwcOhMViwcMPP4wff/wRq1atwpQpUzB69Ghq14DFtdTNUwK0OK08nYFqdTp8OgPVbOUGCYkUNNnmEgxUk7pRb6A3l5UBEDZQrepOB62b/uDBg+HxeHDttddixIgReOKJJzBs2DBmugsLC7Fhwwb8+uuv6NixIx5//HGMHj0ao0ePpnYOFtdSH7aVAC0N28YiYqCxQ7iRWbhaHtISG8LV3LBtLCIGGsmFmzCEq9k2TzOEq1ndAK5/7jkQQn6bhQtEh3C1rFsMrAsfqMHGjRuj/z9r1iyq3GK48sor8cUXXwAATCb6tvS7HrYtKyvDH//4R+Tn56NJkybo3bs39u/fn/a4TZs24ZprroHVasVFF12E2bNnyz43ywlDarkTy5lF1oHS4E4FGtypIlCWugEK2kUiUE23uUgEqmndSD2Eq3XdqaD1yDMb3Kz5WVzLnDHPTZs2YcSIEdi2bRs2bNiAYDCIW2+9VXQK8sGDB3H77bfjhhtuwK5duzBu3Dg8+eSTWLFihaxza30httAyltN12l9ALmSg1a7q7CZJkIIUBqr5RfspyplpXjeEDTQXdAshF1PoseZmzc/iWuZsSbLq6mo0adIEmzZtwo033ii4z7PPPou1a9di37590c+GDx+O77//Hlu3bpV8LrfbzSSxsNtd/66PFndsObM+9iDmF/tR4NC+7ipUYQHmwgknmoSb4l7vQDSyN6bCnQiq2hPKmXns60CMl2n/XkkoZ+Ybswiha+/Qvm7ElzO7fsIEdHrmGU3q1kuSZZ5frM1ZPMNzJvJMRG1tLQDxKdBbt27FrbfeGvdZ9+7dsWPHDllj4JNms/s2RPMbUWwEutJtwv0VBkXlzNKBtu7YRApVhuNYxH+kqqC2GKhqT4hALc7b4KnbQYc7AVR1J0Sg5tcGwb95OR3uBNC+V2Ij0C9ffBGbXn6ZGncs9Mgzs9ys+fX0fGdBCMHo0aNx/fXX44orrki5X2VlZdIi26ZNmyIYDKKmpgalpaVJxwjV8SubUwAz78fjA04jLy8PTqcTDocDPp8v+i0pFArBYrHA5XJF94n91+PxRHM3EkLA8zx8Ph9sNhuqqqri9nW73bBYLAgGg+A4DkajET6fD3a7PYnX5XLBZrMhEAjAYDDgRo7DgiJgyOl8rPVbMeBwEDNtJ1GUH6/bZDKBEBLV7Xa74XA4BHWbzWaEQiEmuv1+P4xGI6ycFb3DfbGyYBlq+GrMC89BzxO9UOwojur2er3geV6xbq/XC4PBAJfLBbfbHafbarUiEAhEdfv9fthsNkHddrs9eu05zoQgtxSFhv4whnejQbgvThxfAVt+h5S6zWYzPB6PoO5IG0Z0m0wm+Hw+Qd2x116+bg7BoTNQEAzC9NUKFM4citMAzDf2S7pnCSEIh8PgeZ6JboPBgEAgIKhbqK9d/uijCPj92DJxIr6dOhUA0PmFF1TrBhC9Z9PpNhgM4Dgupe5Tp04hHA4jGAwiGAxGnyWRTDqRv9lgMER/JoSA47i47DqR36X6N3FfoN6EQqGQ6L6Rc4nxptLCQnfs74T4pegOhUIIhUJwOp3w+XxxzwgWs21zMvIcOXIkfvjhByxZsiTtvokvoNOlfSorK0NhYWHcBgAvzjJj2od0w363280kbVR3SwCzLdUwgWCl24TH6gqoRqCsdDcKNcJtlXfAGrSiynAca4pWwUM5Ao08EGmCcA3gdayFN3gpDKhBg3AfcKGfqJ6DhW4YTfA9NRdn2vcAFwqgcOZQGL/9lOopmOgG8KcxY3Dl008DAL6dOhVbX32VKj8r3UDuRoe5HHmyeF7l3DvPJ554AqtXr8bmzZvTJgy+8cYb0b59e7z11lvRz1atWoW//OUvcLvd4PnktFVCkedr802Y9F69cU56Enh+OIU/BL9dUIfDQYcwgft/3EYMrLYiAKB/QepUfkq4AXa6a7hqLLUvgRNOlKA0bTJ5ufwAI+3OI7C6esIY/h4wFEtKJi+Zm6XuM7WwvPUwTF+tAEy8pGTykrkZ3yvfvP46tkycCADoOmmSYCYipdyAct36O8/M84u1ucvlon4P5kzkSQjByJEjsXLlSnz++eeSMu136tQJGzZsiPvss88+Q4cOHQSNEwAsFgsKCgritqfv92LKqPrfj58BTJa/2kUQQkZNCz6fDzcZ3XGzcIUyESnlZqk731ugqJyZVH5m2v0OnDGtUFTOLC03S93BEM4Mf1dVQe2U3IzvlXZPPBE/CzdNMnk53Kx0E0KYrZnMVW7W/CyuZc6Y54gRI/DRRx9h8eLFyM/PR2VlJSorK+HxeKL7jB07FoMHD47+PHz4cBw+fBijR4/Gvn37MG/ePMydOxdjxoyRdW6j0Yixw0DdQI1GI7NvcRHuxGUsNAw0E7qV1gOVys8CRqMRBlPjhGosN8kqqC3GzbTNzRZVBbVFuRnfK3Krscjh1nFugMW1zBnznDVrFmpra9GlSxeUlpZGt6VLl0b3qaioQHl5efTnli1bYt26ddi4cSPatWuHl19+GTNmzEDfvn0VaWBhoJkACwPNBBINdCHFCJQpFJQz0wRUFNTONuJS+VEy0N8junTpglGjRmVbRk4gZ8wzEtInbkOGDInus2DBgrj0UgDQuXNn7Ny5Ez6fDwcPHsTw4fJfWEbG4gG6BhqZHcYCidw0DTSTuiMG6oADFRQMNGPaKRtoxnRTNtBM3ivXP/cctQiUpW4d8fB6vRgyZAjatWsHq9WK3r17Uz8Hi2uZM+aZTVgslrifaRmoxWJJ4qYFIe6IgYpVY1HKTQtC3LGZiNQaaEa1UzTQjOqmaKCZvleShnAFqrEo5aaFXE2hx4o7FArBZrPhiSeewM0330ydH0h+htOAbp4SIDTNmYaBsqxWn4pbSjkzpdw0kIqbloFmXLvEcmaKuClBkJuSgWbjXpFSzkwpNw1ofTlJMBjEyJEjUVRUhEaNGmH8+PHRNbMsdDscDsyaNQsPPfQQteLXiWBxLXXzlIC8vDzBz9UaaF5eXkputRDjVmug2dJNw0Czol1COTPF3BSQkjtFLlwq3BQgxq3WQKnrJgQIu4CwCwbOAwPnif5McxPkljmDdeHChTCZTPjmm28wY8YMTJs2DXPmzElZpm3Lli3R9kq1TTl7LcQQSTzBAizuwZzMMJRpOJ3OlHkRxw6r/3fc9HoDJQDGS3ytGkkZxSI3ZzpusXJmarnVIB13bDmziIE+IGMdaNa0pylnpopbJUS5k8qZ9QeeXwZ06qWeWyXScd8wdiwACJYzU8stG8QNHK9/gLOcwyvI3dQJcNLXOJ5//vmYNm0aOI5DmzZtsGfPHkybNi06vyRx5mqHDh2we/duUU6xNKoRRLKvsYDYM1wpdPOUgHTfWmIN9IUZ9f8vxUBZfSOXyh0x0D5H5BlotnUnGmhsPVAa/EqRlluFgWZVtwoDzfa9otRAWerWOjp27BgXAXbq1AlvvPEGCCGCSz5sNhtatWql+ry5Fnnqw7YSICWp8NhhQFl9tjC8MAOYJGEIVwsllYTKmaVL5acF3anqgdLiVwJJ3AqHcLOuO2kIt7+kIdys64ayIVzqujl7fQTY1IlAo1MINDoV/ZnmJsjN0Ym4Ur3zpDVsyzrypA098pQAqd9annuk/vWC1Ag029/KI4gYqNQIVCu6Iwa6AHOjBpouAtWEdgURqCZ0C0ag4qn8NKEb8iNQ6ro5Ljp0ajBGljMxWLhPgXvbtm1JP7du3TplVjZaw7Z65HkOIjaLUTrETiJ6Ic0kIo/HI4tbDuRyy4lAtaRbbiYizWiXGYFqRrfMWbia0Q15EShL3VpPoXfkyBGMHj0a+/fvx5IlSzBz5kw89dRTKbkjw7ZiWzrz/Omnn7Br1y6cPHkStbW12L17d1pDlgMW11KPPCUg1TeuVEicRAQIJ5OXyysHSrilRqBa0x0xUCkRqKa0y4hANaU7KQLtlzIC1ZRuSI9AWepmFV3R4h48eDA8Hg+uvfZaGI1GPPHEExg2bBjTiiq33347Dh8+HP25ffv2AEDtSwaL66mbpwQouYBSDJR1kmUlkGKgWtQt1UA1p12igWpOt0QD1ZxuSDNQLerOBHdshrZZs2ZR5RbDoUOHonVPTSb6tsRCuz5sKwFKv3GlWweq1cXSQkO4setAtapbyhCuJrVLGMLVpG4JQ7ia1I30Q7isa1fqyCxYXEvdPCVATcgvZqA8zzMbHlLLLZYLV8u60xmoZrWnMVDN6k5joJrVDQEDjcmFy1J3LqbQY83Nmp/Ftcwp89y8eTN69uyJZs2ageM4rF69WnT/jRs3Ri9I7Pbzzz/LOq/al82pDFRLkymEkMpAta5bzEA1rV3EQDWtW8RANa0bArlwzxooS91ajcazyc2an8W1zCnzdLlcuPrqq/H222/LOm7//v2oqKiIbq1bt5Z1PI0K5EIG6nA4qFc3j4AWt5CBmu3a1x1bjSXWQDXf5ikMVPO6Uxio5nVDuJwZS92p0tz9nrlZ87O4ljllnj169MCkSZPQp08fWcc1adIEJSUl0U1uYVRaC2wTDfTlWeGsLyCXgkQDHVxhwKk67esWSqRQ7arWfpsLGKinbof2dQsYqH/zcu3rRnI5s00vvcRMd65Gh7kcebK4ljllnkrRvn17lJaW4uabb8YXX3wh+3iaC2xjDXTq3Dy8u7SIGncsaCe2jjXQtX4rnvQ0ZFJQm7buRAP9pNEaGPPY3PZUtScYaEPSF/m28vTHKQBV3QkGWvj2UBT+tIkOdwJo3yuxQ7jfvvIK9rz7LjXuWORqdJjLkaeeGF4mSktL8f777+Oaa66Bz+fDhx9+iJtvvhkbN27EjTfeKHiMz+eDz+eL++zgwYNo3bo1nE4n8vLy4HQ64XA44PP5olFsKBSCxWKBy+WK7hP7r8fjAc/zCIfDGN6fwOe348V3LXhxlhk+vxMvPGaI7ut2u2GxWBAMBsFxHIxGI3w+H+x2exKvy+WCzWZDIBCIZugIBAJwOp1wu91o0aKFoG6TyQRCSFS3210/pCmk22w2IxQK4c+EYFGxFYOqrVjpNqHff7z4R2kYPpdy3X6/H0ajUZJur9cLnudl6+YJjwHmgVhiW4Qqw3EsNCzAA+4hCDnDUd1WqxWBQCCq2+/3w2azCeq22+3Rax/RbbVaUV5eDrvdDpvNJqrbbDbD4/EI6o60YSgUAiEcTJaVsAXvgon8AP5Md3jwv6jzXJB07ZXoDgaDsFgsOHLkCGw2W5zu2Hs2Uo6K53mJuglMj82C2eeDZdtqmF8bCB+A2ss6C+o2GAwIBAKCusX6Gm3dANBu5Ei4XS5smzwZX774IgDgyscfF+1rQrpPnTqFcDiMYDAYXYIB1E+K8fv9MBgMCIfDcf8SQsBxXHRZBcdxSfsIHRO7b2Qzm82i+0bOJcabqIWlboPBIMovRXekgLnT6YTP54t7RkSeKTRxTkeebdq0wSOPPII//OEP6NSpE959913ccccdeP3111MeU1ZWhsLCwrht/vz51LWNGRLAMw+eBlAfgb46l+73GIfDwaSSRQ9bCO/ZasCDYK3fioeqzVQjUFa6G5PG6FPbD7awHaetp7DEuhgeju4kArvdTv/dCtcQtablCOIqmAwnYXX1gJHIm/CWDkx0G02oe2wWfB17gwsFYX59EMw711M9BRPdAK4ZNQodz677/PLFF/HdtGlU+XM1OszlyJPFfcIRlitfGYLjOKxatQq9e/eWddzkyZPx0UcfYd++fYK/F4o86+rqcN555ymVmhI1NTWY/pENk9+vv7AvPym9nJkUbgBo3LgxHcIE7s98PIbUFiIAoH+B9HJmUrgBNroBYP+p/VhZuBwegxslKJVcjUUKWGo/UX0AhcF+MOEHwFAsq5xZOjC9V45XIn/WY7BsWw2Y+LS5cGVxM77Hv5s+HdvOrv/sOmmS5HJmAOD1enHw4EG0bNkSVqs17neBQAAAm+UTucpNg1+szWtqaqjfJ+d05CmEXbt2obS0NOXvLRYLCgoKkjYWsFgsePbhcFwuXCnVWKRyWywWOmQC3D0LDLKrsUjlZqUbAJqZmuEez0DZ1VikgKV2s7UEHsdaVQW1U4HpvWJ3wD9qnuRcuLK4Gd/j1z37rKqC2qmg5eiwS5cuGDVqFBPudGDJz+I+ySnzdDqdcQmDDx48iN27d6O8vH4ixdixYzF48ODo/tOnT8fq1atx4MAB7N27F2PHjsWKFSswcuRIWeeNvA+hjcgYvZJyZlK5WSDCraScmVRuVgiFQmgQaKConJkUbqZtHi5UVM5MEjdL3eBkJZOXxc34HldSziwdtJ4YPtPcGzduRK9evdC8eXMUFBSgXbt2WLRoEdVzsLhPcso8d+zYgfbt20eTBo8ePRrt27fH3//+dwBARUVF1EgBwO/3Y8yYMbjqqqtwww034Msvv8Snn34qe6lLJvDcI2ASgbIGCwPNBCKzcKVWY9EMFNYDzTpkVmPRElgYqI7f8PXXX+Oqq67C0qVLsXPnTjz00EMYPHgwPvnkk2xLE0XOvvPMJOrq6pCfn8+EF0Acd9n79cnkAWDSk8LVWJRy04IQ97/q6pPJq30HylK3EH8VqrAAc+GEU/U70Iy2efjkb8nkVb4DzajuUBB49b76ZPIq34Fm+h7fUlaGz8eNA5D+HWjS+zdCAF/9l7NIFCR3vbkUCHJb7PX1RCWgS5cuuOKKKwAAH330EYxGIx577DG8/PLL0TWYLHQD8drvuOMONG3aFPPmzZN8vNg7TxbP8HN6qQot+Hw+Jh00MjEplltqOTMl3LQgxC23oLYcbppI5JdTzkwuN00kcSsoqC2ZmyKSuGWUM5PNTRFC3HILascTuoHe9WsN2VgPUnOvdgJW6bNNFy5ciIcffhjffPMNduzYgWHDhqFFixYYMmRI/TkSzHPLli3o0aOHKOe4ceMw7uwXj1SINefa2lpceumlkjWnA4tnuG6eEsBi6YQYLw0DZaVZjFvIQBedB/AyDJSl7lT8tAw0421OyUAzrpuSgWbjHldloDmC888/H9OmTQPHcWjTpg327NmDadOm4aGHHhLcv0OHDmkLV6crhg0gOllo+fLl2L59O9577z3Z2lOBxb2im6cEOJ1OJo0fSRklxK3WQMW41UKMW62BstQtxh8x0PmYo9hAs9LmFAw0K7opGGi27vEkAyUEN5410pSw2OsjQGRhOYlFXvt07NgxrrpJp06d8MYbbyAQCMBoNCZFnjabDa1atVIu+izC4TA2bdqEIUOG4IMPPsDll9NZigWweYbn1IShbIFFaqcIrxh3unqgarjVIB13xEDNXHI5M7XcaiHGL5QLV84koqy1ucpJRFnTrXISUTbv8aRk8ukmEXFc/dCp1QGDPR8Ge370Z5qbIDelMl+plpJs2bIl2l6ptilnJ1yJYcuWLbj77rvx5ptvxq2aoAE9PV+WkI3IMwKlEWi2vpVHcGc+sKI50PdXeRFotiLPCCIGqiQCzWqbq4hAs6pbRQSa7Xv8+ueeAwD8v7FjZQ3hspx4Q4N727ZtST+3bt06mhYvkZvGsO3GjRtx1113YcqUKRg2bJgi3WJg8gwnOtLC5XIx45XKPeU9QnBp/TZpFl1uuZDD/ckZQsw/EYK9hPQ/Qog/TI9bCaTyHyfHyVQymbxAxpF3yEziIumP0USbh04QUvUHQo6BkMpiQvw/0uNWAMncwQAhUwYQ0h2E3MET8vUaetwKIId7S1kZmQiQiQDZNGkSIYQQj8dDfvrpJ+LxeJL2DwaDJBgMUtVLi7tz584kLy+PPP300+Tnn38mixcvJg6Hg8yePZuZ7i+++ILY7Xby7LPPkl9//ZVUVFSQiooKcuLECVk8Ym3O4j7Rh20lwOVyMeOVyi13CFcOt1zI4Y5EoFKHcFnqlsOvZAhXE22uYAhXE7oVDOFqQjfqI9DoEK6EdaBaLxs2ePBgeDweXHvttRgxYgSeeOIJDBs2jJnuBQsWwO1245VXXkHz5s1RWlqK0tJSquvxWdwn+jpPCYhUSmDBC8gbj49dByqWC1cJt1Qo4U5cB5pqCJelbiX8VajCfMyBC66060A11eYy1oFqSreMdaCa0o34daA3TZuGxt27C645zPg6zxzgpsEvts6TxTNcjzwlIDKDjQWvXO7YCFQsE5ESbqlQwp2YiShVBMpStxJ+ORGoptpcRgSqKd2CEegaOtwyoIQ7NhPRN9Onw1tbK7gfycEUeqy5WfOzuE9085QArSVxlmKgWkw+LcVAtZh8WqqBaq7NJRqo5nQnGWh/wSFczelGvIF6T5+Gq6qKtjQdCsDiPtHNUwI4SlO9hXiVcicaaOI7UDXc6aCGW8hAY3PhstSthl+KgWqyzSUYqCZ1Rw30npTvQDWpG/UG2vHp+koPrqoq1FVUUONOh1zlZs3Pglc3TwnQ0tBQLMQmEWltSCsWYsnktTZsG4t0BqrZNk9joJrVbTQBz3yYchKRZnUD6PDoo7AWFQEA6o4ejTPQXB1a1Ydt45FT5rl582b07NkTzZo1A8dxWL16ddpjNm3ahGuuuQZWqxUXXXQRZs+WX67EZrMpUCuNVy13bDmzWAOlwZ0KNLhTGShL3YB6fjED1XSbRw20fZKBalq3yCxcTesGYC0shKNJEwDxBpqr0WEuR54s7pOcMk+Xy4Wrr74ab7/9tqT9Dx48iNtvvx033HADdu3ahXHjxuHJJ5/EihUrZJ03MvOONpxOJxXu2HJmEQOlxS0EWtxCBnq6jp1ugI72VOXMNN/mhoZAo38nGajmdacwUM3rBuBo0gT5550H4DcD1fpSlWxws+ZncZ/k7FIVjuOwatUq9O7dO+U+zz77LNauXYt9+/ZFPxs+fDi+//57bN26VfK53G43kywmbnd9xEKLO3YZy4TH/Hjm4WBO6I5dxtLHHsT8Yj8KHGwyDNHUnljObID7Hthg136bh08CJ24BgrsAQzE89k9BjJdrX3fCMhbfmEUIXXuHJnUnLpuoq6hA3dGjAIC8Zs3gaNo055aT5PJSFRbP8JyKPOVi69atuPXWW+M+6969O3bs2CFrDHz58j20pQGgHx3GvgN9cZYZL89i9y2Opu7YCHSl24T7KwzMCmrT1B5JJh+JQBfxH6HaVU2FOxFU2zwhArU4e8BTt4MOdwKo6k6IQM2vDYJ/83I63AmgfY/nl5ZGI1DnsWNwJkwiogU98hQGi8jznM5tW1lZiaZNm8Z91rRpUwSDQdTU1KC0tDTpGJ/PF63lF8HQoZ/BZrOhc+cS5OXlwel0wuFwwOfzRb8lhUIhWCwWuFyu6D6x/3o8HvA8j3A4DEIIeJ6Hz+eDzWZDVVVV3L5utxsWiwXBYBAcx8FoNMLn88Futyfxulwu2Gw2BAIBGAwGjLiHg9ttxKT3HZg6Nw8Wsx+PDzidpNtkMoEQEtXtdrvhcDgEdZvNZoRCISa6/X4/jEYjbuQ4LCgChpzOx1q/FQMOBzHDdhIN8n/T7fV6wfO8Yt1erxcGgwEulwtutztOt9VqRSAQiOr2+/2w2WyCuu12e/TaWzkreof7YlXBctTw1VjTYBV6Vd+NYkdxSt1msxkej0dQd6QNI7pNJhN8Pp+g7thrL1c3x5kQMixDgaEvjOHv0SDcFyeOr4Atv0PSPUsIQTgcBs/zTHQbDAYEAgFB3YJ9begMFASDMH21AoUzh+I0APON/VTrBhC9Z9PpNhgM4Dgupe5Tp04hHA4jGAwiGAwCAGzFxSCEwHnsGFyVlQCAvNJShMNhGAwGEELAcVx00kwkl6zBYEj5b+K+QL0JhUIh0X0j5xLjTaUl8vfT1B37OyF+KbpDoRBCoRCcTid8Pl/cM0JfqqIAiS+gYy+EEMrKylBYWBi3BQJhDBq0BuvXH6Sqze12M0kbNep+L/425BSA+gh02od0hytY6e5uCWC2pRomEKx0m/B4XYHkaixSEXkg0kSjUCPc4x0IS9CKGlM11hStgkdGNRYpYKGbcA3gdXwCb+hSGFCDBuE+4EI/UT0HC90wmuB7ai7OtO8BLhRA4cyhMH77KdVTMNENwNG0KWxnv9C7KiujJkoLaqO3W265BaNHj2bCnQ4s+ZmkcaSeLTdDAEBWrVolus8NN9xAnnzyybjPVq5cSUwmE/H7/YLHeL1eUltbG7fdffciAkwkPP8SWbPmZ1p/AnE6ncTpdFLjS+SeONMnK5m8HG6WupdVeWQlk5fLz0r7IddBUhaeJCuZvFQwbfO6chKsvFpWMnnJ3Cx1154mgZf6ykomL5lbpe50ieFrjx4lR7dvJ0e3bydnjh5VIzWJW21i+KeeeooJdyr8/PPPpEuXLqRJkybEYrGQli1bkueffz7lMzoVxNqcxT14TkeenTp1woYNG+I+++yzz9ChQ4eUhWgtFgsKCgrittmzb8WAAZcjEAijX7+PsXbtfir6hIaIacHn8+GJgU7F9UDTcbPUfZPRLSuZvFx+VtrzvQXoW/sXxfVAxcC0zf0OnDGtUFwPVJSbpe5gCGeGv6u4HqgoN0PdhBDYY2fhHjuGumPHqHGTHFvnyfM8Bg8ejHXr1mHv3r2YPn06PvjgA0yYMIHaOVhcy5wyT6fTid27d0drxx08eBC7d+9GeXk5AGDs2LFxRVSHDx+Ow4cPY/To0di3bx/mzZuHuXPnYsyYMbLOa7Hw+OijPtQNVKgqOy1EuNUU1E7HzQIRbrnVWOTys4DRaEQTTl1BbTFulroNpsaqCmqLcTO9V8wWVQW1Rbkp6iaEwO9yxW2WggJYGzRAwOPByf/8Byf/85+kfWhscg0vGAxi5MiRKCoqQqNGjTB+/HimyREuuugiPPjgg7j66qvRokUL3HXXXRg0aBC2bNlC7Rws7sGcmjC0Y8cOdO3aNfpzZGz+gQcewIIFC1BRURE1UgBo2bIl1q1bh6effhrvvPMOmjVrhhkzZqBv376yz20yGfDRR/UlcpYu3Yt+/T7G8uV/wV13tVH5V7GH0oLa2YZQQe3F5wEmduu0qUBNQe2sQkVB7axCRUHtTCHgdqOMUaWgdBjrdMLscEjef+HChXj44YfxzTffYMeOHRg2bBhatGiBBx98UHD/LVu2oEePHqKc48aNw7izFWfS4ZdffsH69eupliRjgZxd55lJnDx5MloJPRgM4777VmLp0r3geYMqAz158iSA9FXWaXFLLWemhJsWhLgTy5mpMdBMapdTzkwuN00kccsoZyabmyKSuGWUM5PNLROJaw79LldOmGeXLl1QVVWFvXv3RidVPvfcc1i7di1++OEHAIDJFB9zeTweHD27hjUVGjZsmLYtO3XqhF27dsHn82HYsGGYNWuWrFmyYus8Y5/htKCbpwS4XC44Ym4+WgYamQHmkPGtUC03DQPNhm5aBppp7bQMNONtTslAM647yUCXAZ160eGWgcQHOSEEgbOzd1MlA3BWVkbffeY3a4a8khLZ5xXi5u12yWnvunTpgosuugjz5s2LfrZmzRr069cPLpeL6TD8oUOHUFdXhx9//BF/+9vf8OSTT+KZZ56RfLyYeSY+w2kgp955ZguJ05wjQ7hq34HKqVZPi1tqPVAl3DSQilssmTwNfhoQ4k6Vyo8GNy0IcsuoByqbmxIEuSWWM1PErQIcx8HscMDscMBks8Fks0V/jmwNL74YDVu1Am+zwXvqFHxnziTtk24T4qaVLzbVUpItW7YgLy9PdJtytkybGM477zy0bdsW9957L6ZOnYqJEydGvwyoBYt7MKfeeWYLQhXIabwDpV3ZXCp37DvQF2YAHOS9A82W7oiB9jmi/B1oNrRHMhEtwFzF70Cz0uYU3oFmRTeFd6AsdYsNReafTdxSd/RoNJ1fvkAyFyXcUrFt27akn1u3bp1yhUKHDh2ikzhTQcqQaax2QggCgQC1iUosrqdunhLgdDoF8yKqNdBIyigWuTnTcauZRJRN3WoNNFva1Rpo1tpcpYFmTbdKA2WpOxK9pRr+VGOg6bil4MiRIxg9ejQeffRR7Ny5EzNnzsQbb7yRkttms6FVq1aKz7do0SLwPI+2bdvCYrHghx9+wNixYzFgwICk96tKkeoZrga6eUqA2LcWNQaarQgugrHDAI4Dxk6TZ6DZ1q3GQLOpXY2BZrXNowZ6Npm8DAPNqm4VBpqtyDMCpQZKI/IcPHgwPB4Prr32WhiNRjzxxBMYNmwYs+w/JpMJr7zyCv7v//4PhBC0aNECI0aMwNNnC4rTAIvrqU8YkoCqqio0OVuXLxWUTCKqqqoCgLTcSiCHO3YS0aQn0xuoVnQnTiJadB7ApzFQLWhPrMYixUC1oDuxGosUA9WEbgWzcNXqFpu8EilKkWoYNBax1VjyzzsvrYHK4ZYLltw0+MXaXMozXC70CUMSIOVbi5JJRJGX6Swgh1tuIgWt6E6cRCQlkYIWtCdWY5EyiUgLuoXrgf5Ih1sBJHOLFNRWza0ABoNBcoQYW42l7ujRtJmI5HDLBUtu1vwsrqVunhLg8Xgk7SdkoGvW/CzKK5VbLuRyyzFQLemWa6Ba0S7XQLWiO9lAbxKdhasZ3TINlKVuuWnu4gw0TSq/XEzPlwl+FtdSN08JkDOMkGig/fsvSxmB8jzPbAhECbdUA9WabjkGqiXtiQa6UMRAtaRbOAIVNlBN6ZZhoCx1cxwne/mIVANVwi0VLLlZ87O4lrp5SoDcF+VSh3C1WLhWioFqUbdUA9Wa9oiBOuBAhYiBak23VAPVnG6JBspSt9IIS4qB6pGnMFhcS908JUDJBZVioFq90dMZqFZ1RwxULJm8FrVHEimIGagWdUsxUE3qlmCgtHTT/tuTDLSigip/LkOsrVncg7p5SoDSkD+dgWpqSCsBYgaqZd3pqrFoVXs6A9Wq7t8MVDgTkWZ1pzFQtbojayH9fn/S79QOTyZNIoox0N/zsG2keLnQdWNxD+pLVSSguroaxcXFio9PtYyluroaAFRxpwItbqFlLLmg+1919dVY/CR+GYvWtcfmwi1FKR44u4xF67pT5cLVvO4UuXDVchNCUF5ejkAggGbNmsXNIqW15MNVVQXX2SU1jiZN4GjS5He5VIUQArfbjaqqKhQVFaFUYDmP2me4EHLOPN9991289tprqKiowOWXX47p06fjhhtuENx348aNcSXMIti3bx/atm0r+Zxut1t1dgohA73llvMBsMliEvkWRoM7MZn86MH0uBNBU3eigS4+D/B7tK9dyEAjQaiWdQsZqDvQkg63AKjpFjBQ99XdVHP7/X4cPHgw6X1b5GcayzK8tbXwnj4NALAWFcGcn0+NOxE0dbPgLyoqQklJiWD0SuMZnoicMs+lS5fi/vvvx7vvvos///nPeO+99zBnzhz89NNPuOCCC5L2j5jn/v37UVBQEP28uLhYVvoqWgtsEw10zpxbcdttLbOebEAKYg302YecGD3YnRO6ExMpTOerYOKyn+AhLVdCNZY7qnvCRmya151ooCewHCGurfZ1Jxjo6REfwH9ND9Xc4XA4aej2xIkTAIBGjRqp4o5gx3vvYdu0aQCAq4YNw+UPPECNOxa0ddPk53le9JnOIkkCSA7h2muvJcOHD4/7rG3btuS5554T3P+LL74gAMipU6dUndflcqk6PhaBQIgMGLCMABMJz79EPv74e2rcsXC5XFR1E0JI2fuE4NL67e9v+ahyR8BC9ydnCOH3EoK9hPQ5GCC1Trr8EdDWfpwcJ1PJZPICGUdmht4iNa5qatyxoN7moROEVP2BkGMg4YrGxH1mOz3uGFDXHQwQMmUAId1BwnfwxPvFUnrcMWBxj2+eMoVMBMhEgPx7wgSq3BGw0J0pfha8ORN5+v1+2O12LFu2DHfffXf086eeegq7d+/Gpk2bko6JRJ4XXnghvF4vLrvsMowfP15wKDcCn88Hn88X99nBgwfRunVrOJ1O5OXlwel0wuFwwOfzRb/thEIhWCwWuFyu6D6x/3o8HvA8j3A4jEAghMce24AVK/ZHI9B+/a6M7ut2u2GxWBAMBsFxHIxGI3w+H+x2exKvy+WCzWZDIBCAwWAAx3EIBAJwOp1wu91o0aKFoG6TyQRCSFS32+2Gw+EQ1G02mxEKhUAIwVuL7HjxXQuA+gj0748bVOn2+/0wGo2SdHu9XvA8r0j3v4NWDKq2IgAO3XEGH7cwwev6TbfVakUgEIjq9vv9sNlsgrrtdnv02kd0W61WlJeXw263w2azieo2m83weDyCuiNtGNF92nwaS22L4Ta4UeRtgAfCQxByhpOuvRLdwWAQFosFR44cgc1mi9Mde88SQhAOh8HzvGTdJuMZ2Fx3wYQfEAw3RKDgf1HnuUBQt8FgQCAQENQt1tdo6wYAIwjM0x+CZdtqEKMJ/r8tRu1lnUX7Gm3d4XAYhBBJumP72tevvIJtkycDAK6fMAFXPv64Kt2Jzwgx3bF9Ta7uyDPi8OHDcf0n1TPCarUKPmfFnhGRZwpN5Mxs25qaGoRCITRt2jTu86ZNm6KyslLwmNLSUrz//vtYsWIFVq5ciTZt2uDmm2/G5s2bU56nrKwMhYWFcdv8+fOp/i0mkwFz5tyOnj1bIhAIY+jQz/Dpp79QPYfD4WDynmnMkACeefA0AOCVeXl4dS7d2gKsdPewhbCg8Ax4EPwvCvBgtVlRPVAx2O126gV3G4cb4+7afrCH7ThtPYUl1sXwcHSzpbDQDa4hak3LEcRVMBlOwurqASNJnW1LCZjoNppQ99gs+Dr2BhcKwvz6IJh3rqd6Cia6AVwzahQ6Pv88AODLF1/Ed2eHcmmBle5M8LPgzZnI89ixYzjvvPPw9ddfo1OnTtHPJ0+ejA8//BA//yytY/bs2RMcx2HtWuHMIkKRZ11dHc47OzWcJiorq/DYYxuwevUvkpPJS0VNTQ0AoHHjxlT4Ermnf2TD5Pfrb0gpyeTlcANsdAPA4qO1GFJbgAC46CQiOfVAxcBS+/5T+7GqcDncBrfkZPJSwVL3ieoDKAz2gwk/SE4mLxVM7/Hjlcif9Rgs21ZLTiYvmZtx3/xu+vRoBNp10iTceNZQaXAD7Pom63ahzZszkWfjxo1hNBqTosyqqqqkaFQMHTt2xIEDB1L+3mKxoKCgIGljAYfDhnnz7pScC1cOLBYLLBYLFS4h7mcfDstKJi+Hm5VuAOhZYMBHjT3RTEQDj4JaBMpSezNTMwzwDJSVTF4qWOo2W0vgcaxNuQ5UDZje43YH/KPmyUomL5mbcd+87tlncdOUKQCAL8aPx+azRkqDm2XfZN0utJEz5mk2m3HNNddgw4YNcZ9v2LAB1113nWSeXbt2Ca4DEkMwGJS1vzzecFIuXBoGGgwGmeoOBoOyq7HI4WaFYDCIbrwvLpXfQAnVWKRys2zzIn+R7GosUrmZ3iuhgvp6oJQNlLluAtnVWCRzM+6bN4wdS91AM9E32T5r6SJnzBMARo8ejTlz5mDevHnYt28fnn76aZSXl2P48Poxw7Fjx2Lw4MHR/adPn47Vq1fjwIED2Lt3L8aOHYsVK1Zg5MiRss7LOmOHUDJ5tQaaqUwjtA00U1lMlJQzk8rNAhFuJeXMpHKzQJQ7UlCbooFmRLeCcmaSuRkgljvJQCdNosbNAqzbhTZyyjwHDBiA6dOn46WXXkK7du2wefNmrFu3LjqLqqKiAuXl5dH9/X4/xowZg6uuugo33HADvvzyS3z66afo06ePrPPKWRMqlzfCTdtAY7lpI5GbpoGy1J3IT9tAM9XmtA00Y/cKZQPNmG7KBprJvhlnoC+8oMpAM9k3WXDTRs5MGMomWLxsjvAC8S/IU6Xyo8FNC6m4hVL50eKmBSH+xEQKkVR+NLhpQYg7MZGC0klEGb9XUqTyo8JNCYLcSZmIlE0iykbf/HLqVPy/sWMBAF1ffhk3jh9PjZsW9AlD5yBYLJ2I8CZySy1npoSbFlJx04hAWepOxU8rAs10m8cmk1cTgWb8XqEUgWZcN6UINBt98/rnnlMdgWajb9Lkpg3dPCXA6XQy4xXipmGgqbhpQIxbrYGy1C3GT8NAs9HmNAw0K/cKBQPNim4KBpqtvpk0hCtzElG2+iYtbtrQh20lgEVS4QgvkPpbkZohXJoJ1pVwKx3CZalbCr+aIdxstrmaIdys3isqhnCzqlvFEG62++aWsjJ8Pm4cAHnrQLPdN9Vy0+bVI08JyMa3REBdBJqtb7cRKI1As/3tVk0Ems02VxOBZvVeURGBZlW3igg0231T6TKWbPdNtdy0oUeeEpCtyDMCJRFotr/dRpBYzmx8mghUK99uEyNQKZmItNDmSiJQLehWEoFqQreCCFQTuiE/AtVK31TKrUeeWYDL5WLGK4VbSQQqlVsJ5HDHRqAvzAAmpYlAWeqWw58YgUrJRKSFNlcSgWpBt5IIVBO6FUSgmtAN+RGoVvqmUm7a0M1TAmw2GzNeqdxyDVQOt1zI5R47DCh7uv7/0xkoS91y+eUaqFbaXK6BakW3XAPVjG6ZBqoZ3ZBnoFrqm0q4aUO2ee7fvx8TJ07EzTffjIsvvhilpaW46qqr8MADD2Dx4sVJSdXPBQQCAWa8crjlGKhcbjlQwv3cI9IiUJa6lfDLMVAttXnEQKUkUtCSbjkGqindMgxUU7oh3UC11jflctOGZPPctWsXunXrhquvvhqbN2/GH//4R4waNQovv/wy7rvvPhBC8Pzzz6NZs2Z45ZVXzikTNRjYBOgGg0E2t1QDVcItFUq5E4dwhSYRsdStlF+qgWqtzaVmItKabqkGqjndEg1Uc7ohzUC12DflcFOH1KrZF1xwAZk5cyY5ceKE6H5ff/016d+/P5k8ebLkitxaR21tLTNepdyBQIgMGLCMABMJz79E1qz5mRp3OqjlnvIeIbi0fps0iy53Oqjh/+QMIfxeQrCXkP5HCAmE6XGngxru4+Q4eYVMIS+QceQdMpO4iIsadzqo4g6dIKTqD4QcAyGVxYT4f6THnQaquIMBQqYMIKQ7CLmDJ+TrNfS400At9+YpU8hEgEwEyKaXX6bKnQ6s24U2JNvxgQMHMHLkSDRs2FB0v06dOuHjjz/GmDFjVNq6dqClIZYI0kWgWhsaioXYMhYtDw0JRaCxy1i02ubpIlCt6k4XgWpWd5oIVLO6IZ4LV8t9Uwo3bUg2T7PZLGm/yHRjqfvnArTycj8RYgaqpUkJQkhloFqflCC2DlTLbR4xUKFJRFrWLWagmtYtYqCa1o3UBqr1vpmOmzYUDQR36dIFv/76a9Ln33zzDdq1a6dWkyjeffddtGzZElarFddccw22bNkiuv+mTZtwzTXXwGq14qKLLsLs2fITrmZzQXM6pDLQbC/ElgIhA82FhdgRAzVz8Qaq9TZPNQtX67pTGajmdacwUM3rhnAqv1zom2Lc1KFkrLdnz56kQYMGZMmSJYQQQkKhEJkwYQIxm83kr3/9K9Vx5Vj885//JDzPkw8++ID89NNP5KmnniIOh4McPnxYcP///ve/xG63k6eeeor89NNP5IMPPiA8z5Ply5fLOq/L5Uq/kwK4XC5q3InvQD/++Puc0E1I/DvQCTN8zHQTQlf7J2cIMf/02zvQ00667RILmrqPk+NkKpkcfQda46rOCd2J70DdZ7bnhu6Ed6DeLz7ODd0k/h3ovydMyJm+KcRNG4rMkxBCZs2aRRwOB7n33ntJp06dyHnnnUc2bNhAU1sSrr32WjJ8+PC4z9q2bUuee+45wf2feeYZ0rZt27jPHn30UdKxY0dZ5z1+/Lg8oTJ4aXInGujChduocceCtm5C4g30udfrqHLHgrb2WAO964CH/FqZG/dKrIG+5Z9GDlUdosYddx7a90qMgYaONSI1lZvocceAuu4YAw3fzpNT/7OQHncMWPTNLWVlUQNdl+JZSwMstMdy04ZJacQ6fPhwHD58GK+88gpMJhM2btyI6667jlZAnAS/34/vvvsOzz33XNznt956K77++mvBY7Zu3Ypbb7017rPu3btj7ty5CAQC4Hk+6Rifz5e0zOb06dPIy8uD0+mM/utwOODz+aJFVkOhECwWC1wuV9K+eXl58Hg84Hke4XAYhBDwPA+fzwebzYaqqqq4fd1uNywWC4LBIDiOg9FohM/ng91uT+J1uVyw2WwIBAIwGAx4991b4PP5sXr1AQwd+hlsNhs6dy5J0m0ymUAIiep2u91wOByCus1mM0KhEBPdfr8fRqMRI+7h4HYbMel9B6bOzYPF7MfjA07H6fZ6veB5XrFur9cLg8EAl8sFt9sdp9tqtSIQCER1+/1+2Gw2Qd12uz167W/kOMwvBB48nY+1fivg5PAuqtAgP7Vus9kMj8cjqDvShhHdJpMJPp9PUHfstZer28pZ0SfcHysKP0YNX401DVahV/XdKHYUJ92zhBCEw2HwPM9Et8FgQCAQENSd3NeMCBs+RoGhH4zh3WgQ7osTx1fAlt9BtW4A0Xs2nW6DwQCO42ToBkJDZ6AgGITpqxUonDkUpwGYb+wn+oxIpzuxr9HUHXlGXDZsGPw+H7ZMnIhvp04FAHR+4QXRviZXt91ujx4Tea4kPiMiuq1Wq+BzVuwZwWKpiiLGU6dOoW/fvpg1axbee+89/OUvf8Gtt96Kd999l7a+KGpqahAKhdC0adO4z5s2bYrKykrBYyorKwX3DwaD0cKriSgrK0NhYWHc9tZbb9H5IxLgdrupp40ymQyYPbsb7rzzQgQCYQwatAbr1x+keg4WugFg1P1e/G3IKQDAi7PMePMf9HNcRh4sNNHdEsCiYh9MIFjrs+DxugJF9UDFwEJ3o3Aj3OsZBGvQihpTNdYUrYJHQT1QMbDQTbgG8DrWwhu6DAbUoEG4D7jQT1TPwUI3jCb4npqLM+17gAsFUDhzKIzffkr1FEx0A/jTmDG48un6NGHfTp2Kra++Sv0crJ4rAKMUq0rC1WbNmpE///nP5L///W/0s3/+85+kYcOG5Pbbb1cRCKfG0aNHCQDy9ddfx30+adIk0qZNG8FjWrduTaZMmRL32ZdffkkAkIqKCsFjvF5vdL1RZEu3tlUpnE4ncTqdTLhPnz5D+vZdknIdqBqw1O10OsnEmb7oEO7Ls9IfI5eflfZlVR7C7w1H34H6w+mPkQqWug+5DpKy8KSU60DVgOm9UldOgpXtUq4DVcXNUnftaRJ4qW/MOtDV9LgZ983/N3Hib+tAJ02izs9SO20oijyHDx+OzZs3o2XLltHPBgwYgO+//x5+v5+KqSeicePGMBqNSVFmVVVVUnQZQUlJieD+JpMJjRo1EjzGYrGgoKAgbmMFoSFiWgiFAnj33VtUFdROBZa6fT4fnhjolJVMXi4/K+03Gd1YWORUVVA7FVjqzvcWoG/tX1QV1E4FpveK34EzpuWqCmqn5GapOxjCmeHvxszC7S+7oHZKbsZ9s90TTygqZyaVn6V22lBkni+88ILgGHLz5s2xYcMG1aKEYDabcc011yTxb9iwIeW71k6dOiXt/9lnn6FDhw6C7ztTwWRS/Go4LS9LbqvVrLgeaDpu1m0iJZWfGn4WMJlMuCOPJK0DTVeNRSo3S91NDU0V1wNNx81St5EvVlwPNB0303vcYj27jOUe2fVA03Iz7ptK64FK5WcBFrySzbO8vFwW8dGjR2WLSYfRo0djzpw5mDdvHvbt24enn34a5eXlGD68vkjk2LFjMXjw4Oj+kUlNo0ePxr59+zBv3jzMnTtXdvYjwqjkKamf7cyUW01B7XTcLBDLrbSgtlR+2ohwKylnJpWbBSLcagpqp+NmgSi3ioLaabkZIMptNAHPfKiooHZabgaI5WZhoKy104Zk8/zjH/+IRx55BN9++23KfWpra/HBBx/giiuuwMqVK6kIjMWAAQMwffp0vPTSS2jXrh02b96MdevWoUWLFgCAioqKOJNv2bIl1q1bh40bN6Jdu3Z4+eWXMWPGDPTt21fWeSMz8WgjFAplhJu2gWZKNxBfzoyGgWZKO20DzZRu2gaasXslaqDtqRhoxnQrqAcqmZsyErlpGyhr7bTBEYmWfPLkSUyZMgXz5s0Dz/Po0KEDmjVrBqvVilOnTuGnn37C3r170aFDB4wfPx49evSgLjZbcLlccDgcTHgBZIw7GAzjvvtWYunSveB5A5Yv/wvuuqsNFW5aSMVd9j4wbnr9/096Enh+OF1+GhDi/lcd0OcIEADQvwBYfB5g4uhw04IQdxWqsABz4YQTJSjFEDwEO+TPfs74vRI+CZy4BQjuAgzFQMMvAP5yOtyUIMgdCgKv3gdsWgqYeOD55UCnu+hwU0Iq7i1lZfh83DgAQNdJk3Dj889T5acBFs9wyZHnr7/+ildeeQXHjh3D7Nmzcckll6CmpgYHDhwAAAwaNAjfffcdvvrqq3PKOAEwmfod4c0kN60INNO6AXpDuJnWTisCzbRuqeXMlHDTgiC3oSHQ6N8JEeiPdLgpQZCbUgSajb5JKwJlrZ02JEeekZmuxcXFuOiii7B9+/aUM1bPNbjdbtjt9NccRi5oprkTI9Bly/qjV6+2VLjVIh232gg0W9rVRqDZ0q02As3avaIyAs2abpURaDb7ZlwE+vLLuHH8eKr8asDiGS458iwqKsJ///tfAMChQ4cQDoepCtEytJ7EWS53YgTav/8yWRFoNhNbq41As6U9XTkzNdxqIcatNgLN2r0iGIFKfweaNd0qI9Bs9k2xcmY0+NWABa/kyHPYsGH4xz/+gdLSUpSXl6N58+bRtFOJiJjsuYJzLfKMIBgM4/77V+Gf//xR1jvQbOsGlEeg2daeGIEuOg/gJUSg2dZdhSrMxxy44JIVgWZbt9IINOu6FUagWdcN5RForkWekhe/vP/+++jTpw9++eUXPPnkk3jkkUeQn59PVYxW4XQ6mVzQyLehbHGbTAZ8+OHdIIRg6dK96NfvY0kGmm3dQH0ECtQb6PgZ9f8vxUCzrT0Sgfb9tT4CBaQZaLZ1R2bhzsecaAQqxUCzrTsagUYM9GRXSQaadd2RCBSoN9DJ/SQZaNZ1oz4CBYDPx43DFy+8AHCcpElErLXT5pUcecbiwQcfxIwZM3435nmuRp4RyJ2FqxXdgPwIVCva/1VXb6B+Ii0C1YpuuRGoVnTXR6DdgOBOSRGoZnTLjEA1oxvyZ+HmWuSpKMPQ/PnzfzfGCQAej4cZrxa45c7C1YpuQP47UK1ovzMfWNE8uaA2DW65kMMtdx2oVnTLTaSgGd0y34FqRjfqI9Cby8oASJuFy1o7bdCv03IOwmw2M+PVCrccA9WSbkCegWpJu5CBplrGoiXdcgxUS7rlGKimdMswUE3pBnD9c89JXsbCWjtt6OYpAbmeYUgqpBqo1nQDyQaaKpm81rRHDDTdOlCt6ZZqoFrTLdVANadbooFqTjekrwPNtQxDunlKQC7ntpULKQaqRd0AkpLJCxmoFrVLSaSgRd1SDFSLuqUYqCZ1CxroGjrcEqCGW4qBnrO5bX/PkFOBRS6vFrnTGahWdQPpDVSr2tMZqFZ1Rww01TpQrepOZ6Ca1Z1koPHlzDSrG+kNlLV22tDNUwK08gI+k9xiBqpl3UCygca+A9WydjED1bJusUQKWtYtZqCa1i0yhKtp3RA3UH3CECOcOnUK999/PwoLC1FYWIj7778fp0+fFj1myJAh4DgubuvYsaPsc7NIVBzh1TJ3KgPVum4g9SQirWtPZaBa153KQLWuO5WBal53CgPVvG6kNlDW2mkjZ8xz4MCB2L17N9avX4/169dj9+7duP/++9Med9ttt6GioiK6rVu3Tva5z7X0fHIgZKDLl+/RvG5AuJxZLrS5kIGertO+biEDrXZVa163UDkzT90O7esWMFD/5uXa1w1hA8219HwgOYCffvqJACDbtm2LfrZ161YCgPz8888pj3vggQdIr169VJ/f5XKp5kjFmyvcgUCIDBiwjAATCc+/RD7++Htq3LFg0SZT3iMEl9ZvE2b4cqbNPzlDCL+XEOwlpM/BADntzA3dx8lx8gqZQl4g48jM0FukxlVNjTsW1O+V0AlCqtoTcgwkXNGYuM9sp8cdA+q6gwFCpgwgpDtI+A6eeL/4mB53DFj0zc1TppCJAJkIkH9PmMC0b9KG5PR82cTWrVtRWFiIP/3pT9HPOnbsiMLCQnz99ddo0yZ1NpyNGzeiSZMmKCoqQufOnTF58mQ0adIk5f4+nw8+ny/us4MHD6J169ZwOp3Iy8uD0+mEw+GAz+eL5vcNhUKwWCxwuVzRfWL/9Xg84Hke4XAYhBDwPI+jR4/CarXCZrPF7et2u2GxWBAMBsFxHIxGI3w+H+x2exKvy+WCzWZDIBCAwWAAx3EIBAJwOp1wu91o0aKFoG6TyQRCSFS3210/xCak22w2IxQKYebMrggGg1ixYj8GDVoDj8eDfv2uVKXb7/fDaDRK0u31esHzvGzdw/sT+Px2vPiuBS/OMuPU6dMo+yvidFutVgQCgahuv98Pm80mqNtut0evfUS31WpFeXk57HZ73PUU0m02m+HxeAR1R9owFArhz4Tgo8YW3Fdjw0q3Ca7Dbixt4YbPlXztlegOBoOwWCw4cuQIbDZb0n0YuWcJIQiHw+B5XpJunvDob74HS22LUWU4joWGBXjAPQQhZ1hQt8FgQCAQENQt1tdo6wYMMFpWwRbsCRPZA/5Md3iwHnWeFqJ9jbbu2GdEOt3RvvbYLJh9Pli2rYb5tYHwAai9rLMq3YnPCDHdkb4mV3e7kSPhdrmwbfJkfPnii3A5nej4zDOizwir1Sr4nBV7RkSeKTSRE8O2lZWVgobXpEkTVFZWpjyuR48eWLRoET7//HO88cYb2L59O2666aYkc4xFWVlZ9L1qZJs/fz6VvyMRdrud6Rg/9UTIJgPmzLkdPXu2RCAQxtChn+Ff/zpA9RwsdAPAmCEBPD+svtjujCVN8Opc+t8bWVzPHrYQFhSeAQ+C/0UBHqo2y6rGIgUsdDcON8bdtf1gD9tx2noKS6yL4eHoTtpg0n+4hqg1rUAQV8JkOAmr63YYyc9UT8FEt9GEusdmwdexN7hQEObXB8G8cz3VU7B6Xl0zahRumDgRALDrjTfw3ZtvUj8Hk+cs9VhWBiZMmEAAiG7bt28nkydPJpdccknS8a1atSJlZWWSz3fs2DHC8zxZsWJFyn28Xi+pra2N23799VdFf186VFdXk+pqNkNaLLkrKo6T3r0/ig7hrlmTeuhcLljqJoSQ56c5o0O4k2bR5WapfdGvpwm/N0ywl5D+Rwjxh+lxs9T988mfSVloEnmBjCPvkpnERegNn7HUXVP1fyRw7EpCjoGQymJC/D9S42ba7ysriHdCb0K6g5A7eEK+XkOPm3HfXD9+fHQId9PLL1PlZqE7q5HnyJEjsW/fPtHtiiuuQElJCY4fP550fHV1NZo2bSr5fKWlpWjRogUOHEgdLVksFhQUFCRtLGCxWGCxWHKO2+GwYd68OyXnwpUDlroB4NmHw5jwWP3Ig5J6oGJgqb1ngQEfNfZEJxGly4UrByx1NzM1wwDPQDjgQAUqsFBmPVAxsNRttpbA4/hEcT1QMTDt93YH/KPmKa4HKsrNuG9e98wzuH7CBADK6oGKgYXurJpn48aN0bZtW9HNarWiU6dOqK2txbfffhs99ptvvkFtbS2uu+46yec7ceIEjhw5gtLSUlk6g8GgrP3l8OYqNxCWlUxeDjcr3RH+p+5zqyqoLcbNss278T6sPF96Mnk53Cx1F/mLopmIaBoo8/4TKlBVUFuUm6VuAlUFtUW5GffNPzz1VHxB7TTJ5OVw00ZOvPO89NJLcdttt+GRRx7Btm3bsG3bNjzyyCO488474yYLtW3bFqtWrQJQPxlkzJgx2Lp1Kw4dOoSNGzeiZ8+eaNy4Me6++25Z5+c4CdWKFSCy9jRXueVWY5HDzQoRfrnVWORws0CEW241FjncLBDhjk3lR8tAM9J/IvVAJVZjkcXNAFFumdVYZHEzQoRfai5cudy0kRPmCQCLFi3ClVdeiVtvvRW33norrrrqKnz44Ydx++zfvx+1tbUAAKPRiD179qBXr1645JJL8MADD+CSSy7B1q1bZZdTi8yWow2j0Zjz3LQNlKXuRH7aBpqpNqdtoJnSTdtAM9Z/ZJYzk8VNGXHcEnLhKuZmgFh+2gbKQreiYti/N9TU1KBx48ZMeAGcE9xyC2rL4aYJIf7YgtovPwmMT1NQWw43LQhxJxbUXnweYFLwBTvTumMLapeiFA+kKagth5sWBLllFtSWxU0JgtxJBbWXAZ160eGmCCF+uQW1xbhp686ZyDObYLF0IsJ7rnDTikBZ6k7FL6Uai1JuWhDillrOTAk3LQhxJ0ag6Qpqy+GmBUFuShFoxnULJpOXH4Fmo2/SikBZ6NbNUwJyId2VFrhpGChL3WL8san8lBpoNtpcSjkzpdw0kIpbTkFtudw0kJKbgoFmRTcFA81W36RhoCx068O2EuB2u5l8c3G76x8W5xq3miFclrql8KsZws1mm/+rDuhzBAhA/hBuNnVXoQoLMBdOOFGCUgyRMYSb1f6jYgg3q7qThnCXA53uosOtEun41QzhsniG65GnBJxL0WEmuNVEoNn6dhuBWDkztdxqkI5bTQSaTd1i5czUcqtBWm4VEWhWdauYhZvtvqkmAtUjzyxBjzyVcSuJQLP97TaC2Ah00pPA8xIiUC20uZIIVAu6lUSgWtCtJALVhG4FEahW+qaSCFSPPLMEl8vFjPdc5haKQNesEc8TylK3HH4ly1i00OZKIlAt6FYSgWpBt5IIVBO6FUSgWumbSiJQFrp185QAm83GjPdc50400P79l4kaKEvdcvnlGqhW2lzIQMXWgWpFt1wD1YpuuQaqGd0yDVRLfVOugbLQrZunBPj9fma8vwduOQbKUrcSfjkGqqU2TzRQsUQKWtItx0C1pFuOgWpKtwwD1VrfTDJQkVy4LHTr5ikBuZ4FSAvcUg00k1lMpEKqgWqtzaUaqNZ0SzVQremWaqCa0y3RQLXYN+MMVCSZPAvdunlKQC7nn9USt5CBJs7CzVT+TLmQYqBabHMpBqpF3REDFVsHqkXdUgxUk7olGKhW++YNY8fi5rIyAKkN9Hed2zabCAQCzHh/b9zplrGw1K2WP52BarXN0xmoVnWnS6SgVd3pDFSzutMYqJb75vXPPScagbLQrZunBFitVma8v0duMQNlqZsGv5iBarnNxQxUy7rFDFTLusUMVNO6RQxU631TbAiXhe6cMc/Jkyfjuuuug91uR1FRkaRjCCGYOHEimjVrBpvNhi5dumDvXvm5KLM+rfwc5E5loFqZDi+GVAaq9TZPZaBa153KQLWuO5WBal53CgPNhb6ZykB/10tV/H4/+vfvj8cee0zyMa+++irefPNNvP3229i+fTtKSkrQrVs31NXVyTp3Xl6eXLmSeX/P3EIGumlTJTPdAD3tQgaaC20uZKAWh/Z1CxmoMc+ged1CBppvK9e+bgEDLfxpU070TSEDZaKb5Bjmz59PCgsL0+4XDodJSUkJmTp1avQzr9dLCgsLyezZs2Wd8/jx43JlSubVuQkJBEJkwIBlBJhIeP4lsnDhNmrciaCtfcp7hODS+u3Z1+pyps0/OUMIv5cQ7CXkrgMecrQyN3QfJ8fJVDKZvEDGkbf808ihqkPUuOPOQ7v/hE4QUvUHQo6BhI41IjWVm+hxx4C67mCAkCkDCOkOEr6dJ6f+ZyE97gTQ1r55yhQyESATAbLu2Wep8UaQc+n5FixYgFGjRuH06dOi+/33v//FxRdfjJ07d6J9+/bRz3v16oWioiIsXLhQ8Difzwefzxf3WWVlJZo3bw6n04m8vDw4nU44HA74fL7oFOhQKASLxQKXyxXdJ/Zfj8cDnucRDodBCAHP8zh16hRsNhvC4XDcvm63GxaLBcFgEBzHwWg0wufzwW63J/G6XC7YbDYEAgEYDAZwHIdAIABCCFwuF4qLiwV1m0wmEEKiut1uNxwOh6Bus9mMUCjERLff74fRaEQoRPDww+uwevUB8LwBixb1QufOJXG6vV4veJ5XrNvr9QJAUru43W5YrVYEAoGobr/fD5vNJqjbbrdHrz3HcXhtnhGT3ncAAJ572IWn73eJ6jabzfB4PIK6I20Y0W0ymaL3Y6Lu2GuvRPenTg4PnM5DABzusvgwK68WRfnJ9ywhBOFwGDzPM9FtMBgQCAQEdQv1tSpShRWFH8PNudE4WIxep+5GsaNYtW4A0Xs2ne7YviZVdzhYg4JgPxjDuxFGY5wyrIAtv4PoMyKd7sS+RlN39Bnh96Fg9uMwfbUCxMij9ok5MN/YT7SvydVtt9tRXV0Nh8MRfa4kPiMiuq1Wq+BzVqiv7Z45E1smTgQATKBsdTkzbCsXlZWVAICmTZvGfd60adPo74RQVlaGwsLCuO2tt95iotHtdjN99xHJFUkbLHSbTAbMnt0Nd955IQKBMAYNWoP16w9SPQfApl1G3e/FiyPqF2FPnevAm/+gn/uThe7u1gAWF/vAg2Ctz4LH6goU1QMVAwvdjcKNcK9nEKxBK2pM1VhTtAoeBfVAxcBCN+EawOtYC2/oMhhQgwbhPuBCP1E9B5N+bzTB99RcnGnfA1wogMKZQ2H89lO65wCb58qfxozBnxQW0E4L6rGsDEyYMIEAEN22b98ed4zUYduvvvqKACDHjh2L+3zo0KGke/fuKY/zer2ktrY2bjtx4oSivy8dnE4ncTqdOncMTp8+Q/r2XRIdwl2z5meq/Cy1T5zpiw7hvjyLLjdL3cuqPITfGybYS0j/I4QEwvS4Weo+5DpIpobqh3DfITOJi7iocTPtP3XlJFjZjpBjIKSymBD/j/S4WequPU0CL/UlpDsIuYMn5Os1dPkZav/uH/+gzpnVyHPkyJHYt2+f6HbFFVco4i4pKQGApCizqqoqKRqNhcViQUFBQdxGGI1se73e6FCizl2PYNCPd965WVVBbTGw1D7y3jqMH1b/zVluObN0YKm7q8GFBUV1qgpqpwJL3XmefNx9pp+icmbpwLT/+OyoNS5TVVA7JTdL3YEgah99R1E5M0n8DLW3uP126pxZNc/GjRujbdu2opvS9TktW7ZESUkJNmzYEP3M7/dj06ZNuO6662Rx8TyvSIMUXp07mdtmsyiuByqFn6X2vz0Ukl2NRSo3S9135imvB5qOm6XuEkOJ4nqg6bhZ6jaZmyiuB5qOm2m/t9oU1wOVxM9QO23kzDvP8vJy7N69G+Xl5fUvgnfvxu7du+OKnLZt2xarVq0CUJ+OadSoUZgyZQpWrVqFH3/8EUOGDIHdbsfAgQNlnZtV5EkI0blTcKspqC2FnwUi3ErKmUnlZoEIt9xqLHK4WSDCraagdjpuFohyqyionZabAaLcKgpqS+JnABa8OWOef//739G+fXtMmDABTqcT7du3R/v27bFjx47oPvv370dtbW3052eeeQajRo3C448/jg4dOuDo0aP47LPPkJ+fL+vckZl4tBEKhXRuEW4WBpop7bQNNFO65VRjkctNG7HcUnLhKuWmjThuygaaMd0MDJS1dtrIuaUq2YDL5YLD4WDCC0DnTsMdDIZx330rsXTpXvC8AcuX/wV33dWGGj8tCHGXvQ+Mm17//5OeBJ4fTo+bFoS4/1UH9P0V8BOgfwGw6DyAV5BbO9O6q1CF+ZgDF1woQSmG4CHYIX/2c8b7T/gkcKIbENwJGIqBhl8A/OV0uClBkDsUBF69D9i0FDDxwPPLgU530eOnBBbP8JyJPLMJlks+dO703DQj0ExrpxWBZlr3nfnAiuaAmVMXgWZad7pk8mq4aUGQm1IEmnHdFCNQ1tppQ488JcDtdsNup792L3JBdW5p3DQi0GxpVxuBZku32gg0W7rVRqBZ6z8qI9Cs6aYQgbLWTptXjzwlIHZSEm1enVs6N40INFva1Uag2dKtNgLNlm61EWjW+o/KCDRruilEoKy104YeeUqAHnlqi1tNBJpt7bER6MtPAuMlRqDZ1v2vOqDPESAAeRFotnUrjUCzrVtpBJp13SoiUD3yPAdxrkVwuc6tJgLNtvbYCPSFGcAkiRFotnUrnYWbbd1KI9Bs61YagWZdt2AEuoYev0LokWeWoEee2uRWEoFqRbvcCFQruuVGoFrRLTcC1YpuuRGoZnQriED1yPMchMfjYcarcyvnVhKBakV7YgSa7h2oVnQLRaBimYi0oltuBKoV3XIjUM3ojkag90h+B8paO23o5ikBZrOZGa/OrY5broFqSbucSURa0i2UiSiVgWpJtxwD1ZJuOQaqKd1GE/DMh5InEbHWThu6eUpArmfqOde55Rio1rSPHQaUPV3//2IGqjXdUg1Ua7qlGqjWdP9moO1FDVRzumXMws21DEO6eUpALueI/b1wSzVQLWp/7pH0EagWdUsxUC3qjhioWC5cLequN9B/ixqoJnVLNFA9t+05iFytTvJ745ZioFrVnm4IV6u60xmoVnWnSyavVd3CBvojHe40UMUtwUD1qirnIHKxLubvlVvIQNes+ZkavxjUcosZqJZ1ixmolnWLGaiWdScb6E3RCFTTutMYKGvttJEz5jl58mRcd911sNvtKCoqknTMkCFDwHFc3NaxY0fZ52YxdTrCq3PT50400P79l0UjUK1rT2WgWtedqpyZ1nWnMlCt6041hKt53SIGylo7beSMefr9fvTv3x+PPfaYrONuu+02VFRURLd169bJPve5mmzgXOaOGOg991wRN4SbC9qFDDQXdAstYzlVp33dQuXMql3VmtctZKCeuh3a153CQHMtSULOmOeLL76Ip59+GldeeaWs4ywWC0pKSqJbw4YNZZ87Ly9P9jFSeXVudtwmkwEffnh33BDupk2VOaE90UDfXVqUE7ojBhrJhfukpyEsDu3rTpyF+0mjNTDmsXk8Uu0/CQbakPRFvq2cDncCqOoWMNDCnzYxvcdpI+cyDC1YsACjRo3C6dOn0+47ZMgQrF69GmazGUVFRejcuTMmT56MJk2apDzG5/PB5/PFfXbw4EG0bt0aTqcTeXl5cDqdcDgc8Pl8MBqNAOqnQlssFrhcrug+sf96PB7wPI9wOAxCCHiex9GjR2G1WmGz2eL2dbvdsFgsCAaD4DgORqMRPp8Pdrs9idflcsFmsyEQCMBgMIDjOAQCATidTrjdbrRo0UJQt8lkAiEkqtvtdsPhcAjqNpvNCIVCTHT7/X4YjUZJur1eL3iel607EAjhscc2YMWK/eB5A6ZN64QHH7wuTrfVakUgEIjq9vv9sNlsgrrtdnv02kd0W61WlJeXw263x7WLkG6z2QyPxyOoO9KGkfZ+6yM7XpxlAQA8eW8Vyv4qfO2V6A4Gg7BYLDhy5AhsNlvS9Yzcs4QQhMNh8DwvWfeGgAX319jgB4fuOIOlLUzwuYR1GwwGBAIBQd1ifY22bgA4xZ/CP22L4TG4UeRtgAfCQxByhkX7Gm3dsc+IdLqjfc1QC5vrLpjwA4LhhggU/C/qPBeo0p34jBDTnfiMkKwbBObpD8GybTWI0YTqR2cBHe8SfUZYrVbB56zYMyLyTKGJnIk8laBHjx5YtGgRPv/8c7zxxhvYvn07brrppiRzjEVZWRkKCwvjtvnz5zPRZ7fbmRR+BeoLyrJ8f5BLuk0mA+bMuR29e7dCIBDG009vxaef/kL1HACbdvnrED+eH1ZfJHjGkiZ4da6JKj/ARncPWwjzC8/ADIL/RQEeqjYrqgcqBha6G4cbo09tP9jCdpy2nsIS62J4OLrZaZj0H64hak3LEcRVMBlOwurqASP5Of1xMsBEt9GEusdmIfjnfuBCQRS/9zjMO9fTPQfYFNgGySImTJhAAIhu27dvjztm/vz5pLCwUNH5jh07RnieJytWrEi5j9frJbW1tXHbr7/+quh86VBdXU2qq6t17gxxBwIh0rv3RwSYSHj+JbJmzc9U+Vlqf36ak+BSQnApIZNm0eVmqXvRr6eJeW+YYC8h/Y8QEgjT42ap++eTP5MpoUnkBTKOvENmEhdxUeNmqbum6v9I4NhVhBwDIZXFhPh/pMbNUjcJBoh3Qm9CuoOQO3hCvl5DlZ6F7qxGniNHjsS+fftEtyuuuILa+UpLS9GiRQscOHAg5T4WiwUFBQVxW2FhITUNsbBarbBarTp3hrhNJgPmz++Jvn3bKK4HKgaW2p8bSjDh8foRk/EyqrFIAUvddxUa8VGxV1IqP7lgqfs8/jzc6xmkuB6oGFjqtthK4c37RHE9UDGw1A2jCYGn5yNwXV/F9UDFwEJ3Vs2zcePGaNu2rehG848+ceIEjhw5gtLSUlnHBQIBahoSeXXuzHEDACEhzJrVTVVB7VRg3S5PDXIrKmcmhZul7ltMXsm5cOVys9Rd6C9UVVBbjJtp/wnmqyqoLcrNsG8GwgTOx2cpKmeWlpuB7px551leXo7du3ejvLwcoVAIu3fvxu7du+OmILdt2xarVq0CUD81ecyYMdi6dSsOHTqEjRs3omfPnmjcuDHuvvtuWefmOAlVfxUgsvZU584Md4Sf542K64Gm42bdLkrrgUrhZoEIt5xk8nK5WSDCLSWVn1JuFohyK6wHKombETiOA2fiE2bh9qcSgbLQnTPm+fe//x3t27fHhAkT4HQ60b59e7Rv3x47duyI7rN//37U1tYCAIxGI/bs2YNevXrhkksuwQMPPIBLLrkEW7duRX5+vqxzR2bL0YbRaNS5M8gdy6+moHY6bhaI5ZZbzkwON23EctM20EzpTpfKTw03bcRxUzbQTPVNOcnk5XDTRs4tVckGTpw4gUaNGjHhBaBzZ4hbiF9JQW2p3DQhxB1bUHvSk8DzaQpqy+GmBSHuxILai88DTAoCg0zrrkIVFmAunHBKKqgth5sWBLllFtSWxU0RSfwKCmqLcdPWnTORZzZhs9mY8ercmeMW4qcZgWa6XaSWM1PCTQtC3LQi0EzrphWBZrz/SCxnpoibIpL4KUagLHTr5ikBmk93pXOr4qdloNloFynlzJRy00Aq7lS5cGlw00AqbhoGmpX+I6GcmWJuShDkp2SgLHTrw7YS4Ha7mSQccLvrO53OnRnudPxqh3Cz2S5qhnCzqTtxCHfReQAvcQg3m7rVDOFmtf+ETwInbgGCu84O4X4O8NKWA2azb6odwmXxDNcjTwnIxShL55bPn66cmRputUjHna4eqBpuNUjHLZRMXmoEmk3daiLQrPYfkXJmqrlVQpRfZQSqR55Zgh55nhvcUvmVRqBaaBclEagWdCuJQLWgOzYCLUUpHpAQgWpBd3IEmn4SkRb6ptIIVI88swSXy8WMV+fOHLdUfqXvQLXQLkoiUC3oVhKBakF3bDmzClRgoYQIVAu6lbwD1ULfVBqBstCtm6cEaLq4rM7NhF+JgWqlXeQaqFZ0J5YzS2egWtEdW85MioFqRbdcA9VK31RioL/rYtjZhFgVFrW8OnfmuOXyyzVQLbWLHAPVku4784EVzaUZqJZ0yzFQLen+zUDTJ1LQUt+Ua6AsdOvmKQG5mE1H56bDL8dAtdYuUg1Ua7qlGqjWdEs1UK3plpqJSGt9U9hAhXPhstCtm6cE5GIeV52bHr9UA9ViuyQaqFAuXC3qFjLQxEQKWtQtxUC1qFuKgWqxbyYbaH9BA/1d57bNJnKxgojOTZdfioFqtV3SJZPXqu6IgabKRKRV3YkGmriMRau60xmoVvumFAP9XVdVySZysXalzk2fP52BarldYlP5JRqolnWLpfLTsu5YA01cB6pl3WIGquW+mc5Az7l6nlJx6NAhPPzww2jZsiVsNhsuvvhiTJgwAX6/X/Q4QggmTpyIZs2awWazoUuXLti7V35Ox6xPK9e5NcMvZqBab5fYVH6xBqp13akMVOu6U5Uz07ruVAaq9b4pbKBro9y0kRPm+fPPPyMcDuO9997D3r17MW3aNMyePRvjxo0TPe7VV1/Fm2++ibfffhvbt29HSUkJunXrhrq6Olnnz8vLUyNflFfnzhw3Lf5UBpoL7SJUziwXdAsZqNWhfd1CmYiMeQbN6xYy0Hxbueb7ZqpZuEx0kxzFq6++Slq2bJny9+FwmJSUlJCpU6dGP/N6vaSwsJDMnj1b1rmOHz+uWGc6Xp07c9y0+QOBEBkwYBkBJhKef4ksXLgtZ9plynuE4NL67bnX63JG9ydnCOH3EoK9hNx1wEOOVuaG7uPkOHmFTCEvkHHkLf80cqjqEDXuuPPQ7j+hE4RU/YGQYyChY41ITeUmetwJoKo9GCBkygBCuoOQO3hy6n8W0uGNQc6m5xs/fjzWr18fVww7Fv/9739x8cUXY+fOnWjfvn308169eqGoqAgLFy4UPE5orVFlZSWaN28Op9OJvLw8OJ1OOBwO+Hy+6BToUCgEi8UCl8sV3Sf2X4/HA57nEQ6HQQgBz/M4deoUbDYbwuFw3L5utxsWiwXBYBAcx8FoNMLn88Futyfxulwu2Gw2BAIBGAwGcByHQCAAQghcLheKi4sFdZtMJhBCorrdbjccDoegbrPZjFAoxES33++H0WiUpNvr9YLnecW6vV4vACTxu91uWK1WBAKBqG6/3w+bzSao2263R699KETw8MPrsHr1AfC8AfPm3YZbb20hqttsNsPj8QjqjrRhRLfJZIrej4m6Y6+9XN0cx+G1+SZMeq9+8fjYoS6Mus8leM8SQhAOh8HzPBPdBoMBgUBAULdQX1vnMuCB03kIgMNdFh9m5dWiKF+9bgDRezad7ti+JlV3FanCyoJlcBlcaBwsRq9Td6PYUZykO/YZkU53Yl+jqTvyjAgHa1AQ7AdjeDfCaIxThhWw5XcQ7WtyddvtdlRXV8PhcESfK6meEVarVfA5m9TX/D4UzH4cpq9WgBh5cJ+Kv+aTi5wYtk3Ef/7zH8ycORPDh6dO3FlZWQkAaNq0adznTZs2jf5OCGVlZSgsLIzb3nrrLTrCE+B2u5m++4jkiqSNXNXNgt9kMmD27G7o27cNAoEwHnpoPdavP0iNPwIW7fL0/V5MfLz+gVI2x4FpH9LPwsJCd3drAIuLfeBBsNZnwWN1BbLLmaUDC92Nwo1wj3cgrEErakzVWFO0Ch4F9UDFwEI34RrA61gLb+gyGFCDBuE+4EI/UT0HwOC5YjTB99RceP/UG1yIwSxh6rGsDEyYMIEAEN22b98ed8zRo0dJq1atyMMPPyzK/dVXXxEA5NixY3GfDx06lHTv3j3lcV6vl9TW1sZtJ06cUP5HisDpdBKn06lzZ4ibJX8gECJ9+y6JDuGuWfMzVX6W7TJxpi86hDtpFl1ulrqXVXkIvzdMsJeQ/kcI8YfpcbPUfch1kEwNTSYvkHHkHTKTuIiLGjfTvllXToKV7Qg5BkIqiwnx/0iXn5X2YID4Zo2mTpvVyHPkyJHYt2+f6HbFFb/Vmjt27Bi6du2KTp064f333xflLikpAYCkKLOqqiopGo2FxWJBQUFB3EYYjWx7vd7oUKLOzZ6bJb/JZMA779yM3r1bqyqonQos22XkvXUYP6z+G7/SgtqpwFJ3V4MLC4rqFJUzSweWuvM8+bj7TD9VBbVTgWnf9NlRa1wmKZWfIn5W2o0m1PUXn1yqBFk1z8aNG6Nt27aiW2R9ztGjR9GlSxf84Q9/wPz582EwiEtv2bIlSkpKsGHDhuhnfr8fmzZtwnXXXSdLJ8/z8v84ibw6d+a4WfPbbBbMnXu77GosUsC6zf/2UEhxPdB03Cx135mnvB5oOm6WuksMJdFqLDQNlLVuk7mJpFR+SvlZaqeNnHjneezYMXTp0gXnn38+Xn/9dVRXV6OysjIpqmzbti1WrVoFoD4d06hRozBlyhSsWrUKP/74I4YMGQK73Y6BAwfKOj+ryJMQonNnkJs1PyEERiOnqJyZFG7Wba6moHY6bhaIcKspqJ2OmwUi3GKJFNRys0CUW2IuXMX8DMCCNyfM87PPPsMvv/yCzz//HM2bN0dpaWl0i8X+/ftRW1sb/fmZZ57BqFGj8Pjjj6NDhw44evQoPvvsM+Tn58s6f2QmHm2EQiGdO4PcrPkj3ErrgUrhZoFYbtoGmindtA00U7ppG2jG+iYDA2WtnTZydqlKJhGZDs2CF2CThEHnzjx/IncwGMZ9963E0qV7wfMGLF/+F9x1Vxsq3DQhxF32PjBuev3/T3oSeD71xHbZ3LQgxP2vOqDPESAAoH8BsOg8gFeQEzzTuqtQhfmYAxdcKEEphuAh2CF/9nPG+2b4JHCiGxDcCRiKgYZfAPzl9PgpgcUzPCciz2zD4/Ew49W5M8fNmj+Rm2YEmuk2pxWBZlo3rQg007ppRaAZ75sUI1DW2mlDjzwlwO12M6lEHlmPpXNnhps1fypuGhFotto8NgJ9+UlgvMwINFu6EyPQxecBJhkRaLZ0q41As9Y3KUSgrLXT5tUjTwmIDCew4NW5M8fNmj8VN40INFttnq6cmRputRDjFqvGopZbLcS41UagWeubFCJQ1tppQ488JUCPPM8Nbtb86bjVRKDZbvOpHwBjp9X/v5wINNu6lUag2datNALNtm41EageeZ6DyMUoS+fOPH86bjURaLbbPFU5MxrcSiGFW2kEmm3dqcqZ0eBWCkncKiJQPfI8B6FHnucGN2t+qdxKIlAt6Abkz8LVim65EahWdFehCgswF044JUWgWtGtJALVI89zECwTrOvcmeNmzS+VW0kEqgXdgPxZuFrRLTcC1YpuoXqgYhGoVnQriUBZa6cN3TwlwGKxMOPVuTPHzZpfDrdcA9WKbkCegWpJt5CBplrGoiXdcgxUS7rlGihr7bShm6cE5GI2HZ078/xyueUYqJZ0A9INVGu6pa4D1ZruiIGmm4WrNd1yDDTXMgzp5ikBuZjHVefOPL8SbqkGqjXdgDQD1aLuiIGaudQGqkXdUpaxaFG3VAPVc9uegzCZTMx4de7McbPmV8otxUC1qBtIb6Ba1X1nPrCieWoD1arudAaqVd1SDJS1dtrQzVMCfD4fM16dO3PcrPnVcKczUK3qBsQNVMu6xQxUy7rFDFTLutMZKGvttJET5nno0CE8/PDDaNmyJWw2Gy6++GJMmDABfr9f9LghQ4aA47i4rWPHjrLPz2rZhN1u17kzyM2aXy23mIFqWTeQ2kC1rjuVgWpddyoD1bpuMQNlrZ02csI8f/75Z4TDYbz33nvYu3cvpk2bhtmzZ2PcuPTVwW+77TZUVFREt3Xr1sk+fy4mBNC5M89PgzuVgWpdN5BsoJNma7+9gd8MNHYS0ak67esWMtBqV7XmdacyUD1JQobw2muvYdasWfjvf/+bcp8hQ4bg9OnTWL16tapz6UkSzg1u1vw0uRMTKSxa1At33NFK87qB+EQKfx/ux7NDgzmhOzaRQh97EPOK/Sh0aF93bCq/JuGmuNc7EI3sjalwx4J630lIpOCxrwMxXpYzSRJy1jzHjx+P9evXY8eOHSn3GTJkCFavXg2z2YyioiJ07twZkydPRpMmTVIeIzTufvDgQbRu3TpaE87pdMLhcMDn88FoNAKonwptsVjgcrmi+8T+6/F4wPM8wuEwCCHgeR5Hjx6F1WqFzWaL29ftdsNisSAYDILjOBiNRvh8Ptjt9iRel8sFm82GQCAAg8EAjuMQCATgdDrhdrvRokULQd0mkwmEkKhut9sNh8MhqNtsNiMUCjHR7ff7YTQaJen2er3geV6xbq/XC5fLlcTvdrthtVoRCASiuv1+P2w2m6Buu90evfYR3VarFeXl5bDb7XHtIqTbbDbD4/EI6o60YSgUQiAQwvDhG7By5X7wvAHTpnXCgw9eJ3jtlegOBoOwWCw4cuQIbDZb0vWM3LOEEITDYfA8L0k3IQRvfWTHi7Pq19Y9eW8Vyv4qfM9yHAeDwYBAICCoW6yv0dYNAJ/5zbivxoYAOHTHGSxtYYLPJd7XaOuOfUak0x3pa6f4U/inbTE8BjeKvA3wQHgIQs6wKt2Jzwgx3Yl9Tapuo6EWNtddMOEHBMMNURX6J0zWq0WfEVarVfA5K/aMiPR5msiJYdtE/Oc//8HMmTMxfLh4brAePXpg0aJF+Pzzz/HGG29g+/btuOmmm0RfHpeVlaGwsDBumz9/Pu0/AUD9NziHw8GE2+FwMH1/kIu6WfPTbheTyYA5c3qgd+9WCATCePrprfj001+o8UfA4nr+dYgfzw9zAQBmLGmCV+fSn+3IQncPWwgLCs+AB8H/ogAPVZtlVWORAha6G4cbo09tP9jCdpy2nsIS62J4OLo1LJn0e64hak3LETa0g8lwEiX8QBjJz3TPATB5XmU18pw4cSJefPFF0X22b9+ODh06RH8+duwYOnfujM6dO2POnDmyzldRUYEWLVrgn//8J/r06SO4j1DkeebMGTRv3lzWuaSguroaAFBcXKxzZ4CbNT8r7mAwjP79l2D16l8U1wMVA8s2GT/Nickf5AGQlgtXDljqXvRrLR48U4AAOEX1QMXAUvf+kz9jZdEKeAxuRfVAxcC0b4ZPInC8K3j8oLgeqBiqq6up686qedbU1KCmpkZ0nwsvvBBWqxVAvXF27doVf/rTn7BgwQIYDPID59atW2Po0KF49tlnJR8TGRqgjchLbJ07M9ys+Vlynz59BkOHrsOKFfupGyjrNnljIY+J79QP4dI0UNa6/8djxKBqm+KC2mLcADvdNVwNljoWKy6oLcYNMOybdeWwue+CMfw9dQNl8QxntxpdAho3bozGjaW92D569Ci6du2Ka665BvPnz1dknCdOnMCRI0dQWloq67hAICD7XNnk1bmzw8+Sm5AQZs3qBpPJhKVL96Jfv4+pGSjrNnlyYABm3oJx0+tn4QJ0DJS17ltMAaw834Y+R+pn4QJ0DJS17kIU4kHHUCzA3OgsXBoGyrxvBvMR5FeiKNQPCO6qn4VLyUBZaM+Jd57Hjh1Dly5dcP755+P1119HdXU1KisrUVlZGbdf27ZtsWrVKgD13zTGjBmDrVu34tChQ9i4cSN69uyJxo0b4+6775Z1fo6jNF4jwKtzZ46bNT9rbp43Kq4Hmo6bdZvIrcYih5sFItxK64FK4WaBCLfcaixyuFmB47izy1j+DZjaxyxj+ZEON2XkhHl+9tln+OWXX/D555+jefPmKC0tjW6x2L9/P2prawEARqMRe/bsQa9evXDJJZfggQcewCWXXIKtW7ciPz9f1vkjs+Vow2g06twZ5GbNnwluNQW103GzQCw3bQPNlG7aBpop3bQNNGN9M8lAb5JcUFuMmzZydqlKJnHixAk0atSICS8AnTtD3Kz5M8mtpKC2VG6aEOKWW1BbDjctCHEnFtRedB7AKwhoMq1bbkFtOdw0kcQfPgmcuKV+CFflO1AWz/CciDyzDZvNxoxX584cN2v+THILRaBr1iib4p/pNqEVgWZat9RyZkq4aUGIW2o5MyXcNJHELziEqywCZaFbN08J0Hy6K51bE/yZ5k400P79lykaws1Gm9Aw0GzollLOTCk3DaTillLOTCk3LQjyUzJQPT1flqCn5zs3uFnzZ4tb7RBuNttEzRBuNnX/qw7o+yvgJ/KHcLOpOzaVn9wh3Kz2zYRUfnKHcFk8w/XIUwLOlUjl987Nmj9b3GonEWWzTdREoNnUna4eqBpuNUjHrSYCzWrflFhQW4ybNvTIUwL0yPPc4GbNn21upRFotnUDyiJQLehOjEClrAPVgm4lEagm+qbCCFSPPLMEl8vFjFfnzhw3a/5scyuNQLOtGxAuZ0aLWwmkcieWM5OyjEULupVEoJromwojUBa6dfOUAE0Xl9W5NcOvBW4lBqoF3UC8gb4gwUC1olvuOlCt6JZroJrpmwoM9HdbDDvbEKvCopZX584cN2t+rXDLNVCt6AbkGaiWdMsxUC3pjhiolEQKmuqbMg2UhW7dPCUglzPS6NyZ49cStxwD1ZJuINlAU00i0ppuqQaqNd1SMxFprm/KMFAWunXzlIBczYWqc2eWX2vcUg1Ua7oBabNwtahbioFqUbcUA9Vk35RooL/b3LbZRjAYZMarc2eOmzW/FrmlGKgWdQP1Blr2dP3/CxmoVnWnM1Ct6k5noJrtm1EDTZ1IgYVu3TwlwGKxMOPVuTPHzZpfq9zpDFSrugHguUdSR6Ba1i1koJF1oFrWLWagmu6baTIRsdCdM+Z511134YILLoDVakVpaSnuv/9+HDt2TPQYQggmTpyIZs2awWazoUuXLti7V35qp2xPK9e5c4Nfy9xiBqpl3UDqIVyt606VC1frulMZqOb7pkg5s9/1UpWuXbvi448/xv79+7FixQr85z//Qb9+/USPefXVV/Hmm2/i7bffxvbt21FSUoJu3bqhrq5O1rlZVU7Py8vTuTPIzZpf69ypkslrXTcgbKC5oFvIQC0O7esWMlBjnkH7fTNFOTMWunM2w9DatWvRu3dv+Hw+8Dyf9HtCCJo1a4ZRo0bh2WefBVA/Xblp06Z45ZVX8Oijj0o+V1VVFZo0aUJNeywvAJ07Q9ys+XOFOzET0Zw5t+K221pqXjcQn4nouYedePp+d07oji1ndpfZi3fzz+C8ptrXHVvOrDhQjF6n++CC4guocCedi6b2hHJmJ7AcjZreqJ43BjkTecbi5MmTWLRoEa677jpB4wSAgwcPorKyErfeemv0M4vFgs6dO+Prr7+WdT6tf0vUubXBnyvciRHo0KGfYdOmSirciaDdJrER6NS5eXh3aRE17ljQ1h0bga71W/Gkp6GicmbpQFt3bDmzar4anzRaraqgthioak+IQBuSvnR4Y2CizsgQzz77LN5++2243W507NgR//rXv1LuW1lZ/zBo2rRp3OdNmzbF4cOHUx4ntFD34MGDaN26NZxOJ/Ly8uB0OuFwOODz+aLrh0KhECwWC1wuV3Sf2H89Hg94nkc4HAYhBDzP4+jRo7BarbDZbHH7ut1uWCwWBINBcBwHo9EIn88Hu92exOtyuWCz2RAIBGAwGMBxHAKBAJxOJ9xuN1q0aCGo22QygRAS1e12u+FwOAR1m81mhEIhJrr9fj+MRqMk3V6vFzzPK9bt9XrhcrmS+N1uN6xWKwKBQFS33++HzWYT1G2326PXPqLbarWivLwcdrs9rl2EdJvNZng8HkHdkTaM6DaZTPD5fIK6Y6+9Et0zZnRBMBjEihX7MWjQGng8HvTrd2XSPUsIQTgcBs/zTHQbDAYEAgFB3UJ97dF+Ifj9eZj4rhkvzjLD53fihccMqnUDiN6z6XTH9jWpuq8LhbC42I6B1WasdJvQ7z9e/KM0DJ8r9TMine7EvkZTd+QZYQqZcI91IBaZP8Rx03HMDbyPgYH7EXKGUvY1ubrtdjsOHz4c139SPSOsVqvgcza5rwEW2xqY6+4AT/bIdJv0yGrkOXHixOjanlTbjh07ovv/7W9/w65du/DZZ5/BaDRi8ODBSDfqnLi+hxAiuuanrKwMhYWFcdv8+fPV/aEpYLfb4XA4mHA7HA6mKcByUTdr/lxrF5PJgLlz70DPni2jEeinn/5C9Rys2nvMgwE8M+Q0gPoI9NW5dOMAVrp72EN4z1oDMwjW+q14qNpMNQJlpbsxKcYdVXfBFrajmq/GP62L4OW8VM/BpP9wDVFrXA4/15kuL7L8zrOmpgY1NTWi+1x44YWwWq1Jn//66684//zz8fXXX6NTp05Jv//vf/+Liy++GDt37kT79u2jn/fq1QtFRUVYuHCh4PmEIk+n04lmzZpJ+ZNk4cSJEwCARo0a6dwZ4GbNn6vcx49XY/jwDVi9+oCieqBiYN0m0z+0YtL79Q9cufVA03ED7HT/r4/Hg7UFiuqBpuMG2Ok+YTyBVUXL4YILpSjFAzLqgUrhB9hpp82b1WHbxo0bo3HjxoqOjXh+qpyFLVu2RElJCTZs2BA1T7/fj02bNuGVV15Jyct6LVMsUr2v1bnZIVe1s+S22SyYO/d2WCz/xtKle9Gv38fUDJR1m/ztoRDs9vpJRONnAATAeAoGylr3nTywIr++nNmyM/WfSylnJoWbFXieRwlK8CCGYj7moAIVWIh51Aw01/pPTkwY+vbbb/H2229j9+7dOHz4ML744gsMHDgQF198cVzU2bZtW6xatQpA/XDtqFGj8P/bO/voqOpz33/nLfOShEEJIaEIoTEhqytSKYiEWimmAhYx4MWrhRuTIrSILVCsQPVW8BQJuFpKlYq3SnM9HLxYSQIqcAxdEKgmhSBBA9TYQhIgASERQsjkZZI89w/OzJmZzMv+7dl7XpLns9YsVjZ7Pvs7O7PnybNn799v/fr1KCkpwalTp5Cfnw+LxYJ58+YJbV+t5pyI2B1Ct9r+aHbrdJqgJtT251Z7n4jOxiLiVgOHW850ZlLdauBwu87GcklwQm0pfjVQwxsVxdNsNqO4uBjZ2dkYM2YMFixYgMzMTBw+fNitS6ypqUFLS4vz55UrV2L58uVYsmQJJkyYgIaGBpSWliI+Pl5o+729vYq9Fk8vu0PnVtsf7W6584FKcauBq9t1KD8lCmiocotOZybiVhpXt5z5QEX8SqOGN2rv8wwljiu61PAC6twKw+7Q+/uL2/M+0GBO4YZ6n7jeB/qbpfJP4YY6t+t9oI8Nkn8KN9S5Xe8DTUIy8oM4hat2dqW9UdF5hpv29nbVvOwOnVttf39xK9mBhnqfSJ3OTI5bKby5lepAQ51b6nRmcv1KoYaXO08J2Gw2VS7/ttluvcnYHRq32v7+5laiAw3XPnHtQOVchRuu3MF2oOHKrUQHqnZ2pb3ceUrAcTpBDS+7Q+dW29/f3L7GwlXCrQT+3FLmA5XrDhZ/7mA70HDlVqIDVTu70nDnKQHuPPuHW21/f3V7dqDvvfcYcnIyFHEHgxS33A403Lk9O1Cp94GGO3cwHSh3nv2Q/tRNDGS32v7+6vbsQB977D3JHWi494ncDjTcuX1NZ6aEWy5S3MF0oNx59kO48+wfbrX9/d0tpwONhNyAeAcaKblFO9BIyS2nA+XOsx/i+KWq4WV36Nxq+/u721sHGugq3EjIDYh3oJGSW7QDjZTcrrOxSO1A1c6uNFw8JaDWcH1qDgXI7tD7B4Jb9DaWSMkNiBXQSMotUkAjKbfoQApqZ1caLp4ScExXpIaX3aFzq+0fKG6RAhpJuQHpBTTSckstoJGWW6SAqp1dabh4SiBaxytld2j9A8kttYBGWm5AWgGNxNxSCmgk5pZaQHls236IXq/O5DN6vZ7dIXSr7R9obikFNBJzA4ELaKTmDlRAIzW3lAKqdnal4eIpAV/TninhZXfo3Gr7B6I7UAGN1NxA3wLqOph8JOf2VkAdAylEcu5ABVTt7EoTNcXzkUcewciRI2EymZCcnIzc3Fw0Njb6fU5+fj40Go3bY9KkScLbVuu2CYvFwu4QutX2D1S3vwIaybmBvmPhOgpopOf2NRJRpOf2V0DVzq40UVM8p06dir/85S+oqalBUVERzp49i7lz5wZ83owZM3Dp0iXnY9++fcLb7o83vg9Et9r+gez2VUAjPTfgfTqzaMjtrYBeb4383L4KKA+SECLef/99zJ49G52dnT5nCc/Pz8f169exe/fuoLbFgyT0D7fafnb3HUhhx44czJx5Z8TnBtwHUnhxcRdWLeyOityuAyk8aulG4dAuDIqN/NyeAyk8bnsCZqjTffIgCf/F119/jR07dmDy5Mk+C6eDsrIyJCYmIj09HYsWLcKVK1eEtxfpf8mxOzL87O7bgc6fvwe7dlUr4vZE6X3iegr3396IwW+2qjMxs9K5XTvQYpseuZe0QU2o7Qulc3sO5bfD8B+42nZVMb8rA77zXLVqFbZs2QKbzYZJkybhww8/xJAhQ3yu/+677yIuLg6jRo1CbW0tfv3rX6O7uxuffvqpz5tmvX1pffnyZYwYMcI5oerNmzcRGxuLzs5O6HQ6ALfuIzIajWhra3Ou4/pve3s7DAYDent7QUQwGAy4du0azGYzent73da12WwwGo3o7u6GRqOBTqdDZ2cnLBZLH29bWxvMZjPsdju0Wi00Gg3sdjuICG1tbRg6dKjX3Hq9HkTkzG2z2RAbG+s1d0xMDHp6elTJ3dXVBZ1OJyl3R0cHDAaD7NwdHR0A0Mdvs9lgMplgt9udubu6umA2m73mtlgszt+9I7fJZEJTUxNiY2Pd9ou33DExMWhvb/ea27EPHbn1er3z/eiZ2/V3Lyd3d3c3jEYjmpubYbFY+vw+He9ZIkJvby8MBoPk3IAWCxZ8iN27/+XsQKdMSfKaW6vVwm63e83t71hTOjcA6HQ6bNymxct/igUArHm6C0sev+73WFM6t+tnRKDcrsfaBzd6kd8yCHZo8KilG6+Zv8bgePm5PT8j/OX2PNZEcjd2N2L34CK0adqQ0D0UOdfmYGjsUJ+fESaTyevnrL/PCI1Gg4SEBJmVxzth7TzXrl3b54Iez8fx48ed6z/33HOoqqpCaWkpdDodnnzySb/37zz++OOYOXMmMjMzMWvWLOzfvx9ffvkl9u7d6/M5BQUFsFqtbo9XX31V0dftQO3hqNSaWDZac6vtb29vj8r9okZuvV6LrVsfxKxZo50d6H/+Z62i21Brfy//X+1YmX8dAPDS1hj8fruyp/vUyj3NaMf/MV2FAYRimx5Ptw6SNJi8VNTKPaRnCH7UMR+mbhOa9FexZ3AJ2mVOqO0LNXKHtfNsampCU1OT33VSUlJgMpn6LL948SLuuOMOlJeXIysrS/I209LSsHDhQqxatcrr/3vrPO12u98OVy6OUwlxcXHsDoFbbT+7+3L9+g0sXLgPRUU1sifU9oXa++S3/9eAl16/dYZKzoTa/tyAern3t+sw/6pZeDozKW5AvWOzrq0OO807YNPaZE+o7QtHh6ok6t2NLoGEhATZrbSj5ovcv9Pc3IwLFy4gOTnZ5zrexle8du2arIyBsNvtqnjZHR4/u/tC1IOtWx+EXq/Hu++exty5f1GsgKq9T5bNt8MYY8Tzm2/dBwooU0DVzv0DvR3Fd5jxPy7eugoXUKaAqn1sWrusmNv9P1Fkfc95Fa5SBVSN7FFxwdCxY8ewZcsWnDx5EvX19Th06BDmzZuH1NRUt64zIyMDJSUlAG79pfHLX/4SFRUVqKurQ1lZGWbNmoWEhATMmTNHaPsajQJ/tvnwsjt0brX97PbuNhh0QoPJi7jV3idy5wOV4lYDh/vheKBoBBCjEZsPVIpbLTQaDRJoqNBg8iJupYmK4mk2m1FcXIzs7GyMGTMGCxYsQGZmJg4fPuzWJdbU1KClpQXArS/+q6urkZOTg/T0dOTl5SE9PR0VFRWIj48X2r5Wq85u0mq17A6hW20/u327RWdjEXGrgatb6QIaqtxKF9BQHZuis7FIdStNWE/bSuWuu+7CwYMHA67n+vWt2WzGRx99pMj21TpdEa2n4qLVrbaf3f7djgIKQJFTuKHcJ7/6ya1/lTiFG8rcjgKqxCncUB6bjgJaiLcUOYU7YE/bhhuz2ayal92hc6vtZ3dgt5IdaKj3ib+xcIN1K4U3t6OASp1QW8StJJ5+JTtQNXJz8ZRANNyczu7w+9ktza1UAQ3HPvE1Fq4SbiXw5RaZUFvUrRTe/EoV0AE/SEK44OH5+odbbT+7xdyeQ/mJnsIN5z5xHcrvN0uB/y1wCjecuV2H8hO9jSWcx+YVXEEh3kIb2mTdxsLD84WJ/vIX/0B3q+1nt5g72A40nPvEswMVuYgonLn9TWcWrDtY/PmD7UC58wwT3Hn2D7fafnbLc8vtQMOdG3DvQKUOpBAJuT070He+AegDdKCRcGzK7UC58wwT/e0v/oHqVtvPbnluuR1ouHMD7tOZSb2NJRJy+5oPVAm3XKT45XagauTm4imB2NhY1bzsDp1bbT+75bvlFNBIyA0AqxeJ3QcaKblFC2ikHJuOAuqYjUVKAVUjNxdPCYgMASjqZXfo3Gr72R2cW7SARkpuQGwghUjKLVJAI+nY9JzOLFABVSM3F08JOKYUUsPL7tC51fazO3i3twK6Z88XirhFkOOWWkAjLbfUAhppx6ZIAVUjNxdPhmEiCs8C+thj7ykyFm4oUGMs3FDgrYAqOZ2ZWoh2oErCxVMCjoly1fCyO3Rutf3sVs7tKKBPPJHp8xRuJOYGAhfQSM0daCCFSD02HQXU30VEauTm4ikBzynKlPSyO3Rutf3sVtat12uxffscn9+BRmpuwH8BjeTcjgLqbTD5SD42A12Fq0buqCuenZ2duPvuu6HRaHDy5Em/6xIR1q5di+HDh8NsNuP73/8+Tp8+LbzNtrY2mWkDe9kdOrfafnYr7/Z3EVEk5wZ8F9BIz+1rNpZIPzb9FVA1ckdd8Vy5ciWGDx8uad1XXnkFmzZtwpYtW1BZWYmkpCQ8+OCDaG1tFdqmWjOnx8XFsTuEbrX97FbH7auARnpuwHsBjYbc3gqoMTbyj01fBVSN3FFVPPfv34/S0lL89re/DbguEWHz5s144YUX8OijjyIzMxNvv/02bDYb3nnnHaHthvuGZnZHh5/d6rm9FdBdu6ojPjfQt4D+ZmtvVOT2LKBPXtLiWmvkH5veCujVtqsKJHQnaornV199hUWLFmH79u2Shlmqra3F5cuXMW3aNOcyo9GIKVOmoLy8XGjbkf5XIrsjw89udd2eBXThwlIcPnxZEbcnSu8T1wK6YVsc/rhzsGJuV5TO7Tqd2ftdJixtv121q3CVzO5ZQD8YskcRrytRMRk2ESE/Px+LFy/GhAkTUFdXF/A5ly/fOqiGDRvmtnzYsGGor6/3+TxvN+rW1tYiLS0NN2/eRFxcHG7evInY2Fh0dnY67x/q6emB0WhEW1ubcx3Xf9vb22EwGNDb2wsigsFgQENDA0wmE8xms9u6NpsNRqMR3d3d0Gg00Ol06OzshMVi6eNta2uD2WyG3W6HVquFRqOB3W7HzZs3YbPZMGrUKK+59Xo9iMiZ22azITY21mvumJgY9PT0qJK7q6sLOp1OUu6Ojg4YDAbZuTs6OtDW1tbHb7PZYDKZYLfbnbm7urpgNpu95rZYLM7fvSO3yWTC+fPnYbFY3PaLt9wxMTFob2/3mtuxDx259Xo9Ojs7veZ2/d3Lyd3d3Q2j0YgLFy4451L09p4lIvT29sJgMKiSW6vVwm63e83t7Vh79dXvo7u7G0VFNZg/fw/a29sxd+5dQecG4HzPBsrteqxJzf3TuT3o6orD2tdj8G9vxKCz6yZeXKL1+xkRKLfnsaZkbsdnxOSeHrwz1IJ5V40otukx92wH/j25F51tvo810dwWiwX19fVux4+vzwiTyeT1c9bzWNP36PGEaR7+n2kHrmi/klZsRKAwsmbNGgLg91FZWUl/+MMfaPLkydTd3U1ERLW1tQSAqqqqfLo/+eQTAkCNjY1uyxcuXEjTp08XyjRlyhTq6OhQ5DW70tHRQWvWrGF3iNxq+9nNbnZHpl8Nd1hnVWlqakJTU5PfdVJSUvDEE0/ggw8+gEbz38P+9/T0QKfTYf78+Xj77bf7PO/cuXNITU3FiRMnMG7cOOfynJwcDB482OtzgL6d540bN3DHHXegpaUFgwYNEn2Jfrlx4wasViu7Q+RW289udrM7Mv1quMN62jYhIQEJCQkB13v11Vexbt0658+NjY2YPn063n33Xdx7771enzN69GgkJSXhwIEDzuLZ1dWFw4cPY+PGjT63pfa9TAzDMEz0ExXfeY4cOdLtZ8eXyqmpqRgxYoRzeUZGBgoKCjBnzhxoNBosX74c69evR1paGtLS0rB+/XpYLBbMmzcvpPkZhmGY/kVUFE+p1NTUoKWlxfnzypUr0d7ejiVLluDatWu49957UVpaivj4+DCmZBiGYaKdqCyeKSkp8PZVrecyjUaDtWvXYu3atbK3ZTQasWbNGlVO5bI7tG61/exmN7sj06+GO6wXDDEMwzBMNBI1gyQwDMMwTKTAxZNhGIZhBOHiyTAMwzCCcPFkGIZhGEG4ePpBjblDH3nkEYwcORImkwnJycnIzc1FY2OjX3d+fj40Go3bY9KkSYq4peSuq6vDU089hdGjR8NsNiM1NRVr1qxBV1dX0LnluqXu75dffhmTJ0+GxWLB4MGD/TpFcst1S8197do15Obmwmq1wmq1Ijc3F9evX5ed+/XXX8fo0aNhMpkwfvx4/O1vf/PrOnz4MMaPHw+TyYRvfvObeOONN3yuK+IuKyvrk1Gj0eCLL77os+6RI0cwa9YsDB8+HBqNBrt37/abWSS3qFtq7oKCAtxzzz2Ij49HYmIiZs+ejZqaGh9Wsdxy3FJzb926FWPHjsWgQYMwaNAgZGVlYf/+/UFnlusXeZ+4UlBQ4LzHX6nsPlFsoL9+yNKlS+mhhx4KOI4uEdGGDRsoPj6eioqKqLq6mh5//HFKTk6mGzduuK23adMmqqiooLq6Ovrkk08oKyuLsrKy/Lrz8vJoxowZdOnSJeejubm5z3py3FJy79+/n/Lz8+mjjz6is2fP0p49eygxMZGeffbZoHPLdUvd3y+++CJt2rSJVqxYQVar1a9TJLdct9TcM2bMoMzMTCovL6fy8nLKzMykhx9+WFbunTt3ksFgoDfffJPOnDlDy5Yto9jYWKqvr/fqOXfuHFksFlq2bBmdOXOG3nzzTTIYDLRr164+64q6Dx06RACopqbGLadj3GpX9u3bRy+88AIVFRURACopKfH7+kVyi7ql5p4+fToVFhbSqVOn6OTJkzRz5kwaOXIk3bx5M+jcctxSc7///vu0d+9eqqmpoZqaGnr++efJYDDQqVOngsos1y/yPnFw7NgxSklJobFjx9KyZct8riea3RdcPH2wb98+ysjIoNOnTwcsnr29vZSUlEQbNmxwLuvo6CCr1UpvvPGG3+3s2bOHNBoNdXV1+VwnLy+PcnJyRF9CQHcwuV955RUaPXq033Xk5g7klpO7sLBQqHiK5Jbqlpr7zJkzBID+/ve/O5dVVFQQAPriiy+Ec0+cOJEWL17stiwjI4NWr17t1bNy5UrKyMhwW/bTn/6UJk2aFLTb8aF47do1n6/DG1IKnEhuUbfc3FeuXCEAdPjwYZ/ryM0txS03NxHRbbfdRm+99ZaimaX6RXO3trZSWloaHThwgKZMmeK3eCqRnYiIT9t6IVRzh3799dfYsWMHJk+eDIPB4HcbZWVlSExMRHp6OhYtWoQrV674XV+KO5g5T1taWnD77bf7XUdObiluJedqVTJ3IKTmrqiogNVqdRu3edKkSbBarQFfn2fuixcv4tNPP3XbJgBMmzbNp6uioqLP+tOnT8fx48dht9udy7q6uoTdDsaNG4fk5GRkZ2fj0KFDfteVitTcwSCa2zHimb/3s9zcUtxycvf09GDnzp1oa2tDVlaWopml+kVzP/PMM5g5cyZ+8IMf+PUFm90VLp4ekMfcoVLwN3eo4/9cWbVqFWJjYzFkyBCcP38ee/b4n6j1oYcewo4dO3Dw4EH87ne/Q2VlJR544IE+846KukVzOzh79ixee+01LF68WLHcIm65uaUiJ7cUpOa+fPkyEhMT+zw/MTHR7+vzljs7Oxs9PT1C++ry5cte1+/u7nabBampqUnYnZycjD/96U8oKipCcXExxowZg+zsbBw5csTn65KK1NxykJObiLBixQrcd999yMzMVDS3VLdI7urqasTFxcFoNGLx4sUoKSnBt771LcUyi/hFcu/cuRMnTpxAQUGBz/0QbHavCPWpUYyac4cuWLBAktvB1atXqaamhkpLS+m73/0u/fCHP6Te3t6gcstxi+YmImpoaKA777yTnnrqKUX2txy3nNxST63KyS3VLTX3yy+/TOnp6X2ef+edd1JBQUHA7ThobGwkvV5PAKi8vNzt/9atW0djxozx+ry0tDRav36927KPP/6YANClS5ecyxoaGoTd3nj44Ydp1qxZfteBhFOrUnPLcXsjUO4lS5bQqFGj6MKFC349cnJLdYvk7uzspH/+859UWVlJq1evpoSEBDp9+rRimUX8UnOfP3+eEhMT6eTJk85lgU7byn2feDJgiufVq1fpH//4h99He3s75eTkkFarJZ1O53wAIJ1OR08++aRXd2VlJQGgoqIiN9/UqVMpJyfH6fbGhQsXvH4ABco9cuRIWrFiRVBu0dwNDQ2Unp5Oubm51NPT4293C+cWccvZ31ILnJz9LdUtNfe2bdu8+qxWK/35z38OuB1XUlNTSavVUnFxsdvypUuX0v333+/1Od/73vdo6dKlbsuKi4tJr9e7fX/e2dlJOp1OyO2NdevW9fkOyhMpBU5qbjlub/jL/bOf/YxGjBhB586dC+gRzS3iFs3tSnZ2Nv3kJz9RJLOo3xvecpeUlDg/n10/rzUaDel0Oq8XGCmRnYgoKgeGl4Oac4eOHz8eSUlJ+Ne//oVHH30UwK3vg06cOIGNGzciIyPD5/bov4YW9nVK0Fvu5uZmfPXVV/j2t78dlFskd0NDA6ZOnYrx48ejsLAQWq3/M/4iuUXdwezvQASzvwMhNXdWVhZaWlpw7NgxTJw4EQBw9OhRtLS0YPLkyZK319zcjIsXLyIlJQUHDhzAnDlznP934MAB5OTkeH1eVlYWPvjgA7dlpaWlmDBhgtv35zExMRg/fryQ2xtVVVVITk6WvL4vpOZWCm+5iQg///nPUVJSgrKyMowePTqgR2puOW6pub1BRD4/O5TY1/783vCWOzs7G9XV1W7LfvzjHyMjIwOrVq2CTqdTJbvjBTB+8HXadsyYMW5/cW/YsIGsVisVFxdTdXU1/ehHP+pzC8LRo0fptddeo6qqKqqrq6ODBw/SfffdR6mpqdTR0eHV3draSs8++yyVl5dTbW0tHTp0iLKysugb3/hG0G6puR2nUx944AG6ePGi26XjvvaJ1Nxy3FJzExHV19dTVVUVvfTSSxQXF0dVVVVUVVVFra2tQeWW4xbJPWPGDBo7dixVVFRQRUUF3XXXXX1uVZGau7CwkAwGA23bto3OnDlDy5cvp9jYWKqrqyMiotWrV1Nubq7T67iU/xe/+AWdOXOGtm3bFvBWFanu3//+91RSUkJffvklnTp1ilavXu3sxj1pbW117lMAtGnTJqqqqnLeBhNMblG31NxPP/00Wa1WKisrc3sv22w25zpyc8txS839q1/9io4cOUK1tbX0+eef0/PPP09arZZKS0uD3tdy/CLvE088T9sGm90XXDwD4Kt4AqDCwkLnz729vbRmzRpKSkoio9FI999/P1VXV7s95/PPP6epU6fS7bffTkajkVJSUmjx4sV08eJFn26bzUbTpk2joUOHksFgoJEjR1JeXh6dP38+aLfU3IWFhT6/ows2txy31NxEt27f8OY+dOhQULnluEVyNzc30/z58yk+Pp7i4+Np/vz5fS7bF8n9xz/+kUaNGkUxMTH0ne98x+32hry8PJoyZYqbu6ysjMaNG0cxMTGUkpJCW7du7ZPRgYh748aNlJqaSiaTiW677Ta67777aO/evV69jtsVPB95eXlB5xZ1S83t673s+h6Qm1uOW2ruBQsWOH+HQ4cOpezsbGdhCyazXL/I+8QTz+IZbHZf8JRkDMMwDCMI36rCMAzDMIJw8WQYhmEYQbh4MgzDMIwgXDwZhmEYRhAungzDMAwjCBdPhmEYhhGEiyfDMAzDCMLFk2EYhmEE4eLJMAzDMIJw8WQYhmEYQbh4MswA5OrVq0hKSsL69eudy44ePYqYmBiUlpaGMRnDRAc8ti3DDFD27duH2bNno7y8HBkZGRg3bhxmzpyJzZs3hzsaw0Q8XDwZZgDzzDPP4K9//SvuuecefPbZZ6isrITJZAp3LIaJeLh4MswApr29HZmZmbhw4QKOHz+OsWPHhjsSw0QF/J0nwwxgzp07h8bGRvT29qK+vj7ccRgmauDOk2EGKF1dXZg4cSLuvvtuZGRkYNOmTaiursawYcPCHY1hIh4ungwzQHnuueewa9cufPbZZ4iLi8PUqVMRHx+PDz/8MNzRGCbi4dO2DDMAKSsrw+bNm7F9+3YMGjQIWq0W27dvx8cff4ytW7eGOx7DRDzceTIMwzCMINx5MgzDMIwgXDwZhmEYRhAungzDMAwjCBdPhmEYhhGEiyfDMAzDCMLFk2EYhmEE4eLJMAzDMIJw8WQYhmEYQbh4MgzDMIwgXDwZhmEYRhAungzDMAwjCBdPhmEYhhHk/wNi33PiDWIoKAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 计算每条直线的y值\n",
    "y_arrays_neg_x_b = [-x_array + b for b in b_array]  # 计算每条直线的y值\n",
    "labels_neg_x_b = [f\"b = {b}\" for b in b_array]  # 为每条直线生成标签\n",
    "# 绘制图形\n",
    "plot_lines(x_array, y_arrays_neg_x_b, labels_neg_x_b, \"y = -x + b\", leg = 4)  # 调用绘图函数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a86a1158-b38b-4aa4-bd48-6006e26f1e1f",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
